m<A = 9x - 7, m<B = 7x - 9, and m<C = 28-2x. List the sides of triangle ABC in order from longest to shortest.

Answer 1

Hi Jamie S.

For Triangle ABC all the angles must sum to 180

m<A + m<B + m<C = 180

Plug in the expressions and solve for x

9zx - 7 + 7x - 9 + 28 - 2x = 180

Sides for longest to shortest are respectively sides opposite the largest to the smallest angles

m<A = 101 and the longest side is opposite angle A

m<B = 75 and the side opposite this angle is next

m<C = 4 and this is the smallest angle so the side opposite this angle is the shortest side

I hope this helps