Find the length of BC if ABC is equilateral with AB=12x+4 and AC=8x+12

BC = 28

Step-by-step explanation:

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

Equate AB and AC and solve for x, that is

12x + 4 = 8x + 12 (subtract 8x from both sides)

4x + 4 = 12 (subtract 4 from both sides)

4x = 8 (divide both sides by 4)

x = 2, thus

AC = 8x + 12 = (8 * 2) + 12 = 16 + 12 = 28

Since the 3 sides are congruent then BC = 28