Question

find x and the length of each side if FGH is an equilateral triangle

Answer 1

Since the triangle is equilateral, all sides are equal. To find x, we can say that

$2x+6=5x-21$

Now simplify, and isolate x.

$3x=27$

Therefore x=9.

Substitute x for 9 in one side.

2×9+6=18+6=24.

All sides are equal to 24 and x=9.