Question

Help plz i dont undertand

Answer 1

Answers:

• x = 4
• AB = 36
• BC = 36
• AC = 36

All three sides are 36 units long.

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Explanation:

Triangle ABC is equilateral, so all three sides are the same length.

Pick any two of those sides, set them equal to each other, and solve for x

AB = BC

8x+4 = 11x-8

8x-11x = -8-4

-3x = -12

x = -12/(-3)

x = 4

Use this x value to find each side. We should get the same value (if not, then an error occurred in solving for x).

• AB = 8x+4 = 8*4+4 = 32+4 = 36
• BC = 11x-8 = 11*4-8 = 44-8 = 36
• AC = 9x = 9*4 = 36

We get the same value for the three side lengths, so this confirms we have the correct x value.