Question

Please help me!

STU is an equilateral triangle. If ST is one less than twice x, SU is 37 less than five times x, and TU is 11 more than x, find x and the measure of each side.

Answer 1

• x = 12
• Side = 23 units

Explanation:

STU is an equilateral triangle. And:

• ST = 2x - 1
• SU = 5x - 37
• TU = x + 11

All sides are equal. Then take one pair and solve for x:

• 2x - 1 = 5x - 37
• 3x = 36
• x = 12

Substitute x to find the side length:

• 2x - 1 = 5x - 37 = x + 11 = 23