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2. Triangle ABC is equilateral and AB = 6x + 3, BC = 8x - 1,2. AB =
and AC = 11x - 7. Find x and the measures of
each side of the triangle.

2 Triangle ABC is equilateral and AB 6x 3 BC 8x 12 AB and AC 11x 7 Find x and the measures of each side of the triangle class=

Respuesta :

Answer:

AB = BC = AC = 15

Step-by-step explanation:

Since the triangle is equilateral then the 3 sides are congruent.

Equate any 2 sides and solve for x , that is

AC = AB , so

11x - 7 = 6x + 3 ( subtract 6x from both sides )

5x - 7 = 3 ( add 7 to both sides )

5x = 10 ( divide both sides by 5 )

x = 2

Then

AC = 11x - 7 = 11(2) - 7 = 22 - 7 = 15 , thus

AB = BC = AC = 15

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