Question

If ΔFGH ~ ΔKJH, find x.

Answer 1

x = 16

Explanation:

GH = x + 8

FH = 4x - 25

JH = 32

KH = 52

Since ΔFGH ~ ΔKJH,

GH/JH = FH/KH

Thus:

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

Cross multiply

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

52x + 416 = 128x - 800

Collect like terms

52x - 128x = -416 - 800

-76x = -1,216

Divide both sides by -76

x = -1,216/-76

x = 16