Question

Given that the triangles are similar solve for a

Answer 1

a = 24

Explanation:

Since the two triangles are similar the ratio of the length of each side of one triangle to the length of the corresponding side of the other triangle must be the same

Looking at the two triangles we see that the side of length a corresponds to the smaller triangle side of length 16

The side of length 15 corresponds to the smaller triangle side of length 10

So we have the ratio equality

`(a)/(16) = (15)/(10) \\\\\\a = 16\cdot (15)/(10) \\\\\\a = 24`