Question

If ΔFGH ~ ΔKJH, find x.

Answer 1

x = 16

Step-by-step explanation:

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

So that;

`(GH)/(HJ)` =
`(FH)/(HK)`

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

cross multiply to have;

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

128x - 800 = 52x + 416

128x - 52x = 416 + 800

76x = 1216

x =
`(1216)/(76)`

= 16

x = 16

Therefore, x = 16.