Question

if △jkl is an equilateral triangle, jk = 13x + 5, kl = 17x - 19, and jl = 8x + 35, find the value of jl. answer attempt 1 out of 5 6 83 24 81

Explanation:

Step1: Set two - side lengths equal

Since $\triangle{JKL}$ is equilateral, $JK = KL$. So, $13x + 5=17x - 19$.

Step2: Solve for $x$

Subtract $13x$ from both sides: $5 = 4x-19$. Then add 19 to both sides: $4x=24$, and $x = 6$.

Step3: Find the length of $JL$

Substitute $x = 6$ into the expression for $JL$. $JL=8x + 35$. So, $JL=8\times6+35=48 + 35=83$.

Answer:

83