Question

If AJKL is an equilateral triangle, JK = 13x + 5, KL = 17x-19, and JL = 8x + 35, find the value

of x and the measure of each side.
?

Answer 1

• Each side is 83 units long

Explanation:

Given

Triangle JKL with:

• All sides are equal (equilateral triangle),
• JK = 13x + 5,
• KL = 17x - 19,
• JL = 8x + 35

Equate any two side measures and solve for x:

• JK = KL

• 13x + 5 = 17x - 19
• 17x - 13x = 5 + 19
• 4x = 24
• x = 6

Sides length of each side is:

• 13*6 + 5 = 83 units