9. If H is the centroid of ABDF, DF = 50, CF = 42, and BH = 22, find each missing measure.
a) HE =
d) DE =
e) CH=
b) EF=
c) HF =
f) BE =

9. If H Is The Centroid Of ABDF, DF = 50, CF = 42, And BH = 22, Find Each Missing Measure.a) HE =d) DE

Answers

Answer 1

Answer:

HE=11

EF=25

HF=28

DE=25

CH=14

BE=33

Step-by-step explanation:

Answer 2

The measurements of the missing lengths are; HE = 11, DE = 25, CH = 14, EF = 25, HF = 28 and BE = 33

What is the centroid of a triangle?

The centroid is a point in a triangle where all the three medians of the triangle intersects.

Given that,  H is the centroid of the triangle BDF, DF = 50, CF = 42, and BH = 22,

Here, BE, CF and DG are the medians of Δ BDF

We know that,

The centroid divides the medians into two parts always, ratio 2:1

And the medians divide their corresponding sides into two equal parts.

a) HE =

BH/HE = 2/1

Let HE = x, therefore, BH/HE = 22/x = 2/1

HE = 11

b) DE = DF/2 = 50/2 = 25

c) CH = (CF/3)x1 = 42/3 = 14

d) EF = DE = DF/2= 25

e) HF = (CF/3)x2 = 14x2 = 28

f) BE = HE+BH = 22+11 = 33

Hence, Each of the missing measures are HE = 11, DE = 25, CH = 14, EF = 25, HF = 28 and BE = 33

For more references on centroid, click;

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Answers

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Answers

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Answers

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