SOLUTION: If triangle ABC is isosceles, B is the vertex angle, AB = 20x + 10, BC = 13x + 66, and AC= 25x, find x and the measure of each side of the triangle

Question 1166324: If triangle ABC is isosceles, B is the vertex angle, AB = 20x + 10, BC = 13x + 66, and AC= 25x, find x and the measure of each side of the triangle
Found 2 solutions by ikleyn, Edwin McCravy:
Answer by ikleyn(52858) (Show Source): You can put this solution on YOUR website!
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Solve this equation 20x + 10 = 13x + 66 and find x = = 8. Now evaluate the length of each side AB = 20*8 + 10 = 170 BC = AB = 170 AC = 25*8 = 200. The triangle inequalities are satisfied, so the triangle does exist. ANSWER. The side lengths are 170, 170 and 200.

Solved.

I went all this way / (all the steps) with you to show you that every step is necessary, especially checking the triangle inequalities at the end.

Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!

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