Question

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In triangle ABC below , which is the longest side?

Answer 1

the longest side is AC

Explanation:

The longest side will be opposite the largest angle.

4x+(2x-6) + (4x-4) = 180 (all triangle interior angles add up to 180 degrees)

simplify:

10x - 10 = 180

10x = 190

c= 19

angle B = 4(19) = 76 degrees

angle A = 2(19) - 6 = 32 degrees

angle C = 4(19) - 4 = 72 degrees

so the longest side is AC