# If triangleJKL is an equilateral triangle, JK=13x+5, KL=17x-19, JL=8x+35, how do you find x and the measure of each side?

Jan 16, 2017

X = 6 and Side = 83

#### Explanation:

As the triangle is equilateral, so it's all sides are equal.

Hence , 13 x + 5 = 17 x - 19

$\Rightarrow 13 x - 17 x = - 19 - 5$

$\Rightarrow - 4 x = - 24$

$\Rightarrow x = \frac{- 24}{-} 4$

$\Rightarrow x = 6$

Each side i.e. JK = 136+5 = 83, KL = 176 - 9 = 83 and

JL = 8*6+35 = 83