Question

Find the values of a, b and c in the given pair of similar triangles. Answer it with solution, please. Thank you.​

Answer 1

a = 28, b = 12, c = 9

Explanation:

The ratio of corresponding sides between the triangles is 4 to 7, or 4/7 (comparing small triangle to the large one).

Set up proportions.

`(16)/(a)=(4)/(7)\\\\4a=112\\\\a=28`

Next, find b.

`(b)/(21)=(4)/(7)\\\\7b=84\\\\b=12`

Finally,

`c=21-b=21-12=9`