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If AJKL is an equilateral triangle, JK = 13x + 5, KL = 17x-19, and JL = 8x + 35, find the value
of x and the measure of each side.
?

Respuesta :

mhanifa

Answer:

  • Each side is 83 units long

Step-by-step explanation:

Given

Triangle JKL with:

  • All sides are equal (equilateral triangle),
  • JK = 13x + 5,
  • KL = 17x - 19,
  • JL = 8x + 35

Equate any two side measures and solve for x:

  • JK = KL
  • 13x + 5 = 17x - 19
  • 17x - 13x = 5 + 19
  • 4x = 24
  • x = 6

Sides length of each side is:

  • 13*6 + 5 = 83 units
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