Question

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.

Answer 1

AB = BC = AC = 15

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