Find the missing measurement of AC

Mathematics

1 answer:

IgorLugansk [536]3 years ago

8 0

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

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