Question

Find the missing length

Answer 1

x = 25

Explanation:

We have 2 similar triangles:

1) with hypotenuse 15 and short leg 9,

2) with hypotenuse x and short leg 15.

For similar triangles we can write a proportion for corresponding sides.

hypotenuse 1: leg1 = hypotenuse 2 : leg 2

15 : 9 = x : 15

9x = 15 * 15

x = 15*15/9

x = 25