If ∆JKL is an equilateral triangle, JK = 13x + 5, KL = 17x – 19, and JL = 8x + 35, what is the value of x?

Answers

Answer 1

Answer:

x = 6

Step-by-step explanation:

Given that Δ JKL  is equilateral then the 3 sides are congruent.

Equate any 2 sides and solve for x, that is

13x + 5 = 8x + 35 ( subtract 8x from both sides )

5x + 5 = 35 ( subtract 5 from both sides )

5x = 30 ( divide both sides by 5 )

x = 6

Answer 2

An equilateral triangle is a triangle where all three sides are equal.

The value of x is 6.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

An equilateral triangle is a triangle where all three sides are equal.

∆JKL is an equilateral triangle.

JK = 13x + 5

KL = 17x – 19

JL = 8x + 35

Now,

JK = 13x + 5

KL = 17x – 19

JK = KL

13x + 5 = 17x - 19

5 + 19 = 17x - 13x

24 = 4x

x = 6

Thus,

The value of x is 6.

Learn more about triangles here:

https://brainly.com/question/25950519

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