Jkl is an equilateral triangle jk= 13x+5,kl= 17x-19 and jl= 8x+35

An equilateral triangle is a shape with 3 sides that have an equal side length.

The value of x is 6, JK is 83, KL is 83 and JL is 83.

The 3 sides of triangle JKL are equal to each other, hence we can equate any of the two sides together to find the unknown variable called x.

So: JK = KL

JK = 13x + 5

KL + 17x - 19

13x + 5 = 17x - 19

Collect like terms

17x - 13x = 19 + 5

4x = 24

x = 24/4

x = 6

We can proceed to find the sides now

JK = 13x + 5

13 x 6 + 5

= 78 + 5

= 83

JK = 83

KL = 17x - 19

= 17 x 6 - 19

= 102 - 19

= 83

KL = 83

JL= 8x + 35

= 8 x 6 + 35

= 48 + 35

= 83

JL = 83

Therefore, The value of x is 6, JK is 83, KL is 83 and JL is 83.

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x = 6

Step-by-step explanation:

Since the triangle is equilateral then sides are congruent.

Equate any 2 sides and solve for x

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

JK = (13 × 6) + 5 = 78 + 5 = 83

KL = (17 × 6) - 19 = 102 - 19 = 83

JL = (8 × 6) + 35 = 48 + 35 = 83

ΔJKL is equilateral with side = 83

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step-by-step explanation: