Answer:
The value of x = 6.
The measure of side J K = K L = J L = 83 units
Step-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 J
Substituting the values of each side , we get:
13 x + 5 = 17 x - 19 = 8 x + 35
Now, comparing first and second term of the above expression,we get:
13 x + 5 = 17 x - 19
⇒ 5 + 19 = 17 x- 13 x
or, 24 = 4 x
⇒ x = 24/4 = 6 , or x = 6
So, 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
