Answer:
AC = 78
Step-by-step explanation:
Since all the angles are equal (60°), this is an equiangular triangle (meaning all angles re equal). Equiangular triangles are also equilateral meaning that all sides are equal)
We are given then one side is 11x-32 and another side is 5x+28
These two sides must be equal so we can set them equal to each other and solve for x
11x - 32 = 5x + 28
6x - 32 = 28
6x = 60
x = 10
If x = 10, then we can substitute x into either of the two equations to find the length of all three sides (since all sides have equal length)
11(10)-32 = 110 - 32 = 78
AB = BC = AC = 78
AC = 78
