Question

What is the length of FH?
4
8
16
24

Answer 1

C. 16

Explanation:

correct on edg .

Answer 2

`FH=16\ units`

Explanation:

we know that

An isosceles triangle has two equal sides and two equal interior angles

In this problem

Triangle FGH is an isosceles triangle,

because

`m\angle FGJ=m\angle HGJ` ---> given problem

`m\angle FJG=m\angle HJG` ---> given problem

so

`m\angle GFH=m\angle GHF`

therefore

FG=HG

substitute the given values

`3x-8=16`

solve for x

`3x-8=16`

`3x=16+8`

`3x=24`

`x=8`

GJ divide triangle FGH into two congruent triangles

FGJ≅HGJ

If two figures are congruent, then its corresponding sides and its corresponding angles are congruent

so

HJ=FJ

FH=2FJ

FH=2x

substitute the value of x

`FH=2(8)=16\ units`