If triangle ABC is similar to triangle AVW, find the values of x and y

Answer: x = 7.2, y = 7.5

Step-by-step explanation:

Similar triangles have the same proportions.

Since ABC ≅  DEF, then  

Let's solve for x:

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Let's solve for y:

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The ratio of corresponding sides is same for all the sides for similar triangles. The value [tex]x[/tex] is 17.5 units and value of [tex]y[/tex] is 19.2 units.

Two polygons are said to be similar or congruent pentagon-

Given information-

In the given figure,

[tex]\Delta ABC\cong \Delta AVW[/tex]

As for the similar triangle the ratios of corresponding sides is same for all the sides. Hence,

[tex]\dfrac{AB}{AV} =\dfrac{BC}{VW} =\dfrac{AC}{AW}[/tex]

Take two ratios to find [tex]x[/tex],

[tex]\dfrac{BC}{VW} =\dfrac{AC}{AW}[/tex]

Put the values,

[tex]\dfrac{16}{10} =\dfrac{28}{x}\\16x=280\\x=\dfrac{280}{16} \\x=17.5[/tex]

Take another two ratios to find [tex]y[/tex],

[tex]\dfrac{BC}{VW} =\dfrac{AB}{AV}[/tex]

Put the values,

[tex]\dfrac{16}{10} =\dfrac{y}{12}\\16\times12=10y\\y=\dfrac{192}{10} \\y=19.2[/tex]

Hence, the value [tex]x[/tex] is 17.5 units and value of [tex]y[/tex] is 19.2 units.

Learn more about the similar polygon here;

https://brainly.com/question/17756657

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