Question

If RST is an equilateral triangle, find x and the measure of each side.

S 12x - 22 R 10x - 6 T 7x + 18
O X=8
O X=6
O X=4
O X=2​

Answer 1

x = 8

Explanation:

In equilateral, the length of the sides are equal.

12x - 22 = 10x - 6

Add 22 to both the sides

12x = 10x - 6 + 22

12x = 10x + 16

Subtract '10x' from both sides,

12x -10x = 16

2x = 16

Divide both sides by 2

x = 16/2

x = 8