Question

If ΔFGH ~ ΔKJH, find x.

Answer 1

Answer:

x = 16

Explanation:

Since ΔFGH and ΔKJH are similar, let's compare their sides.

So that;

$\frac{GH}{HJ}$ = $\frac{FH}{HK}$

$\frac{x +8}{32}$ = $\frac{4x-25}{52}$

cross multiply to have;

32(4x - 25) = 52(x + 8)

128x - 800 = 52x + 416

128x - 52x = 416 + 800

76x = 1216

x = $\frac{1216}{76}$

  = 16

x = 16

Therefore, x = 16.