VIIVIS. JUIVC CUCI PIUUICHT giver le normation.12. If AJKL is an equilateral triangle, JK = 13x + 5, KL = 17x - 19, and JL = 8x + 35, findx and the measure of each side.

Answer:The value of  x = 6.The measure of side J K = K L = J L = 83 unitsStep-by-step explanation:Here, Δ JKL is an Equilateral Triangle.So, all sides of the triangle are equal to each other.⇒ J K =  K L = L JSubstituting the values of each side , we get:13 x + 5 = 17 x - 19  = 8 x + 35Now, comparing first and second term of the above expression,we get:13 x + 5 = 17 x - 19⇒ 5 + 19 = 17 x- 13 xor, 24 = 4 x⇒ x = 24/4 = 6 , or x = 6So, the measure of side J K = 13x   + 5 = 13(6) + 5  = 83 units       the measure of side K L = 17x  -19 = 17(6) -19  = 83 units        the measure of side J L = 8x  +35 = 8(6) +35   = 83 units