Question

URGENT if triangle FGH is congruent to triangle KJH, find FH​

Answer 1

FH=39

Explanation:

FGH~KJH

GH=x+8

FH=4x-25

JH=32

KH=52

(these are the measurements I have)

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

(cross multiply)

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

52x+416 = 128x-800

(subtract the 52x from the 128x)

416 = 76x-800

(add the 800 to the 416)

1216 = 76x

(divide the 76 over the 1216)

x = 16

(now plug x into FH)

FH = 4x-25

FH = 4(16)-25

FH = 39

(hope this helped)

Answer 2

FH =KH if triangle FJH and KJH is congruent

Explanation:

If two triangles FJH and KJH as shown n figure is congruent if,

FJ = KJ,

FH =KH and

JH =JH common

Triangle is congruent by SSS theorem

Therefore FH =KH