if the sides of a triangle are in the ratio 3:4:5, prove that it is
right-angled triangle​

Answers

Answer 1

Answer:

hope this helps

Step-by-step explanation:

Let a , b , c are three sides of a triangle

a : b : c = 3 : 4 : 5

a = 3x ,

b = 4x ,

c = 5x

a² = 9x²

b² = 16x²,

c² = 25x².

c² = a² + b²

by the pythagorean theorem,

a , b , c forms a right angled Triangle.

Answer 2

Answer:

yes it's a right angle triangle

Step-by-step explanation:

Given the sides are in the ratio 3:4:5.

Let ABC be the given triangle.

Let the sides be 3x,4x and hypotenuse be 5x.

According to Pythagoras theorem,

AC

2

=BC

2

+AB

2

BC

2

+AB

2

=(3x)

2

+(4x)

2

=9x

2

+16x

2

=25x

2

AC

2

=(5x)

2

=25x

2

AC

2

=BC

2

+AB

2

Hence ABC is a right angled triangle


Related Questions

PLSSSSSSSS HELP ME
correct answer gets brainliest

Answers

Answer:

5

Step-by-step explanation:

the area of a parallelogram is represented in this formula:

[tex]A=bh[/tex]

we can rearrange this to solve for [tex]b[/tex]

[tex]\frac{A}{h} =b[/tex]

[tex]\frac{20}{4} =5[/tex]

Therefore [tex]b=5[/tex]

The correct answer is $4.00 if you fill in the equation replacing the X with $4.00 you get 216

Answers

The resulting equation to fulfill this requirement would be:

y = 54x

When x = 4, y = 216

Learning Task 3
A. Write each sentence as:
(a) Conditional Statement
(c) Inverse Statement
(b) Converse Statement
(d) Contrapositive Statement
1. Vegetables are good for your health.
2. 3x + 8 = 14, x = 2
3. A right triangle has a 90° angle.
4. An eagle is a bird.
5. A whale is a mammal.
6. Two circle with equal diameters are congruent.
7. An angle that measures between 90 and 180 degrees is obtuse
angle.
8. Two planes with no common point are parallel.
9. Carrot is rich in Vitamin A.
10. All reptiles have scales.
B. Determine which statements in A both the conditional and converse
statements are true. Write it in biconditional statement.

IF WHO ANSWER THIS CORRECTLY I WILL TRANSFER MY 500+POINTS TO HER/HIM AND BRAINLIEST ANSWER don't try to answer rude i will bann it​

Answers

Answer:

A)

1.

Statement is - Vegetables are good for your health.

Let P - There are Vegetables , Q - they are good for health

Conditional statement is -If there are Vegetables , then they are good for the health.

Inverse Statement is - If there are no Vegetables, then they are not good for health.

Converse statement - If they are good for health , then they are vegetables.

Contra-positive statement - If they are not good for health , then they are not vegetables.

2.

Statement is - 3x + 8 = 14, x = 2

Let P - 3x + 8 = 14 , Q - x = 2

Conditional statement is -If 3x + 8 = 14 , then x = 2.

Inverse Statement is - If 3x + 8 ≠ 14 , then x ≠ 2.

Converse statement - If x = 2 , then 3x + 8 = 14

Contra-positive statement - If x ≠ 2 , then 3x + 8 ≠ 14

3.

Statement is - A right triangle has a 90° angle.

Let P - Triangle has a 90° angle , Q - It is right triangle .

Conditional statement is -If Triangle has a 90° angle , then It is right triangle.

Inverse Statement is - If Triangle has not a 90° angle , then It is not right triangle.

Converse statement - If It is right triangle , then Triangle has a 90° angle.

Contra-positive statement - If It is not a right triangle  , then Triangle has not a 90° angle.

4.

Statement is - An eagle is a bird .

Let P - It is an eagle  , Q - It is a bird

Conditional Statement - If it is an eagle , then it is a bird.

Inverse statement - If it is not eagle , then it is not bird.

Converse statement - If it is a bird , then it is an eagle.

Contra-positive statement - If it is not a bird , then it is not an eagle.

5.

Statement is - A whale is a mammal

Let  P - It is a whale , Q - It is a mammal

Conditional Statement - If it is a whale , then it is a mammal.

Inverse statement - If it is not whale , then it is not mammal.

Converse statement - If it is a mammal , then it is a whale.

Contra-positive statement - If it is not a mammal , then it is not a whale.

6.

Statement is - Two circle with equal diameters are congruent

Let  P - Two circles have equal diameters , Q - They are congruent

Conditional Statement - If Two circles have equal diameters , then they are congruent.

Inverse statement - If two circles have not equal diameters , then they are not congruent.

Converse statement - If two circles are congruent , then they have equal diameters.

Contra-positive statement - If two circles are not congruent , then they have not equal diameters.

7.

Statement is - An angle that measures between 90 and 180 degrees is obtuse  angle

Let  P - An angle that measures between 90 and 180 degrees , Q - They are obtuse angle.

Conditional Statement - If An angle that measures between 90 and 180 degrees , then they are obtuse angle.

Inverse statement - If An angle that does not measures between 90 and 180 degrees , then they are not obtuse angle.

Converse statement - If an angle is obtuse angle , then that angle measures between 90 and 180 degrees.

Contra-positive statement - If an angle is not an obtuse angle , then that angle does not measures between 90 and 180 degrees.

8.

Statement is - Two planes with no common point are parallel.

Let P - Two planes have no common point , Q - they are parallel.

Conditional Statement - If Two planes have no common point , then they are parallel.

Inverse statement - If two planes have common point , then they are not parallel.

Converse statement - If two planes are parallel, then they have no common point.

Contra-positive statement - If two planes are not parallel, then they have common point.

9.

Statement is - Carrot is rich in Vitamin A.

Let P -  There are carrots , Q - they are rich in Vitamin A

Conditional statement is -If There are carrots , then they are rich in Vitamin A.

Inverse Statement is - If there are no carrots , then they are not rich in Vitamin A.

Converse statement - If they are rich in Vitamin A , then they are carrots

Contra-positive statement - If they are not rich in Vitamin A , then they are not carrots.

10.

Statement is - All reptiles have scales.

Let  P - All are reptiles , Q - they all have scales.

Conditional statement - If all are reptiles , then they all have scales.

Inverse statement - If all are not reptiles , they have no scales.

Converse statement - If all have scales , then all are reptiles.

Contra-positive statement - If all have no scales , then they all are not reptiles.

B)

1. Both the conditional and converse  statements are true.

Bi-conditional statement - There are vegetables if and only if they are good in health.

3. Both the conditional and converse  statements are true.

Bi-conditional statement - A triangle has a 90° angle if and only if it is a right triangle.

6. Both the conditional and converse  statements are true.

Bi-conditional statement - Two circle are equal diameter if and only if they are congruent.

7. Both the conditional and converse  statements are true.

Bi-conditional statement - An angle that measures between 90 and 180 degrees if and only if it is an  obtuse  angle.

8. Both the conditional and converse  statements are true.

Bi-conditional statement - Two planes has no common point if and only if they are parallel.

i need help my teacher talks to fast and i don't get anything he says

Answers

Answer:

2$+(1.29$ x 30)=40.70$

Step-by-step explanation:

5. Write an expression to represent "Six more than the difference of a number and three."​

Answers

n-3+6
i dot believe that is the correct answer have an amazing day love ;)

What is the volume of the hemisphere? 583.2cm^3cm 3 291.6cm^3cm 3 6882.3cm^3cm 3 3441.1cm^3cm 3 Item at position 3

Answers

Answer:

See Explanation

Step-by-step explanation:

The question has missing details; as the radius or an attachment of the hemisphere is not given.

However, I'll solve on a general terms.

The volume of a hemisphere is: [tex]V = \frac{2}{3}\pi r^3[/tex]

Take for instance

[tex]r = 14.9cm[/tex]

The volume becomes:

[tex]V = \frac{2}{3} * 3.142 * 14.9^3[/tex]

[tex]V = \frac{2 * 3.142 * 14.9^3}{3}[/tex]

[tex]V = \frac{20787.151516}{3}[/tex]

[tex]V = 6929.051cm^3[/tex]

So, all you need to do is plug in the value of radius in the formula.

evaluate this expression -2.8 + -2.5

Answers

Answer:

-5.3

Step-by-step explanation:

-2.8+(-2.5)=-2.8-2.5=-5.3

Answer:

-5.3

Step-by-step explanation:

Solve for k. 3 5 22 k Stuck? Watch a video or use a hint.​

Answers

Answer:

[tex]k=\frac{3}{10}[/tex] or [tex]0.3[/tex]

Step-by-step explanation:

[tex]\frac{3}{2k}=5[/tex]

[tex]\frac{3}{2k}*2k=5*2k[/tex] (Multiply both sides of the equation by [tex]2k[/tex] to get rid of the denominator)

[tex]3=10k[/tex] (Simplify)

[tex]10k=3[/tex] (Symmetric Property of Equality)

[tex]\frac{10k}{10} =\frac{3}{10}[/tex] (Divide both sides of the equation by [tex]10[/tex] to get rid of [tex]k[/tex]'s coefficient)

[tex]k=\frac{3}{10}[/tex] or [tex]0.3[/tex] (Simplify)

Hope this helps!

Which number best represents the slope of the graphed line?

Answers

Answer:

The answer is number four(4).

Prii needs to run at least 30
miles this week for nis
training. If he has already run
18 mies iris week, then how
moty mies should he run on
each of the 3 remaining doya

Answers

30 - 18 = 12
So he has 12 miles left for this week.
There are 3 more days
So 12 divided by 3
Which is 4, so he needs 3 more hours per day for the remaining 3 days

And this one. Thank you

Answers

Answer:

D. 390

Step-by-step explanation:

9(21)+3(3)(21)+12

what's 2+2
Do you watch all American if so tell me who's your favorite character ​

Answers

Answer:

2+2=4

Step-by-step explanation:

If You Have 2 Circles And 2 Sqaures Add Them Together so 2+2+__

Now Add Them 2+2=4

OO+■■=4

PLEASE HELP ME, JUST WITH THE SECOND ONE MATHH DECIMALSS QUICKKK PLSSS

Answers

hope it's helpful ❤❤❤

THANK YOU.

Answer:

4.35

Step-by-step explanation:

If the divisor have decimal places, multiply by 10, 100 ....

As denominator has one decimal place multiply denominator & numerator by 10

[tex]\frac{26.97*10}{6.2*10}= \frac{269.7}{62}[/tex]

= 4.35

Help!! I’m not good at geometry! For 30 points!

Answers

Answer:

the answer is center mark happy to help ya :)

Step-by-step explanation:

Help me I will mark brainliest ....

Answers

Answer:

1  1/2 eggs

1/2 almond paste

1/8 vanilla

3/8 sugar

Step-by-step explanation:

Jaiden mixed 6 cups chocolate chips with 8 cups of granola to make trail mix. To represent the relationship between chocolate chips, c, and granola, g, needed to keep the makeup of the trail mix the same, Jaiden wrote the equation c=∎g.


What number should be placed in the box?

Answers

Answer:

Freee pointss yes tnxxx

The proportion is given by the equation c = pg where the value of p is

p = 0.75

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as p

Now , the equation will be

Jaiden mixed 6 cups chocolate chips with 8 cups of granola to make trail mix

So , for 6 cups chocolate chips = p x 8 cups of granola

So , the proportion will be

Substituting the values in the equation , we get

6 = p x 8

Divide by 8 on both sides of the equation , we get

p = 6/8

On simplifying the equation , we get

p = 0.75

Therefore , the value of p is 0.75

Hence , the proportion equation is c = 0.75g

To learn more about proportion click :

https://brainly.com/question/7096655

#SPJ5

which pairs of angels in the figure below are vertical angles?​

Answers

B has the pair that are vertical angles

guys please help me! i really need it! it is chemistry. but I labeled it as math bc I never get help on it :(​

Answers

it would partially ionize....................

Answer:

it would partially ionize

5n + 2n + 6 = 4n - 21

Answers

Combine like terms
7n + 6 = 4n - 21
3n = -27
Divide by 3
n = -27/3 (u can simplify)

5n+2n+6=4n-21 group like terms on left side

7n+6=4n-21subtract 6 from both sides

7n=4n-27 subtract 4n from both sides

3n=27 divide both sides by 3

n=9

2 1/2 + (-3 3/4)+ 5 2/5

Answers

4 3/20
My reasoning is I used my calculator

Answer:

83/20 or 4 3/20

Step-by-step explanation:

365 is what percent of 55?

Answers

Answer:

636.6%

Step-by-step explanation:

To find the percent, divide 365 by 55:

365/55

= 6.636

This is equivalent to 636.6%

So, 365 is 636.6% of 55

636.6% ur welcome trust me

Write the equation of this line in y= mx + b form

Answers

Answer:

y = 2/3x - 1

Step-by-step explanation:

that should be correct, hope this helps!

y = 2/3x - 1

hope this helps,, have a nice day :))

Find m< MNQ

Explain your reasoning.

Answers

m< MNQ = 100°

By the Parallelogram Opposite Angles Theorem < MNQ and < QLM are congruent.

HOPE IT'S HELP

#CarryOnLearning

Triangle inequality

Answers

Answer:

DF

EF

DE

Step-by-step explanation:

First, we need to figure out the third angle.

Angles in a triangle add up to 180, so

180 = 61 + 59 + DEF

DEF = 180 - (61 + 59) = 180 - 120 = 60

In a triangle, the smallest angle is always opposite the shortest side, and the largest angle opposite the longest.

The three angles are 61, 60, and 59.

Since DEF(61) is the largest, DF is the longest.

Next is EDF(60), so EF is the next.

Finally, DFE(59) is the smallest angle, so DE is the shortest.

DF, EF, DE

A box is filled with 9 brown cards, 2 yellow cards, and 3 blue cards. A card is chosen at random from the box. What is the probability that it is a brown or a blue
card?

Answers

Answer:

9 / 14 for a brown , 3 / 14 for a blue

Step-by-step explanation:

1) summarize all cards 9 (brown) + 2 (yellow) + 3 (blue)= 14 cards.

2) probability depends on how many cards of a particular color, how more cards, then more probability.  

3) 9 brown cards, so probability = 9 brown cards to divide all cards 14.  

Is this correct?
the question is in the picture

Answers

Yes the are all in perfect order

4 x - 11 = 12 ×=____​

Answers

4(5.8) = x , I think? Because that equals 12.2

Answer:

4 x -11 = 12x

Step-by-step explanation:

4 x -11 = 12x

1. Subtract 4 by itself and -11

-15 = 12x

2. Divide 12 by itself and -15

x = -1.25

Aldo made 12 of 18 baskets during the first half of the basketball game. What is the experimental probability that he will make the next basket?

Answers

Answer:

I think that the answer is 66%

Step-by-step explanation:

12/18

divide both numbers by 6

2/3

turn this fraction into a percentage

66%

The experimental probability that he will make the next basket will be 66.66%.

What is Probability?

The formula to calculate the probability of occurrence of an event 'A' can be written as -  

P(A)  = n(A)/n(S)  

where -

n(A) = Number of outcomes favorable to event A.

n(S) = Total number of outcomes.

Given is Aldo made 12 of 18 baskets during the first half of the basketball game.

If Aldo made 12 of 18 baskets during the first half of the basketball game, then we can write the experimental probability as -

P(E) = 12/18 = 2/3

P(E) = 2/3 x 100 = 66.66%

Hence, the experimental probability that he will make the next basket will be 66.66%.

To solve more questions on Probability, visit the link below -

brainly.com/question/24028840

#SPJ5

Colton's mini-van is depreciating at a rate of 5.5% per year. He paid $22,250 for it in 2019. How much will the car be worth in 2025 to nearest cent?

Answers

Answer:

$1584.2

Step-by-step explanation:

Given data

R= 5.5%

T= 2025-- 2019=  6years

P=  $22,25

Let us apply Compound interest formula

A=P(1-r)^r ------------Note negative for  depreciation

A= 2225(1-0.055)^6

A= 2225(0.945)^6

A= 2225*0.712

A=$1584.2

Adam, Bella and Carl collect tokens in a game.
Bella has 10 more taken than Adam. Carl has 8 more tokens Bella. Altogether they have 91 tokens. How many does Adam have?

Answers

Answer:

Answer attached

Step-by-step explanation:

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