# SOLUTION: In triangle ABC, AB + 2(BC) = BC + 2(AB) and AC + 2(AB) = AB + 2(AC). Classify triangle ABC. A. Scalene B. Isosceles C. Equilateral D. Right

Algebra ->  Algebra  -> Triangles -> SOLUTION: In triangle ABC, AB + 2(BC) = BC + 2(AB) and AC + 2(AB) = AB + 2(AC). Classify triangle ABC. A. Scalene B. Isosceles C. Equilateral D. Right       Log On

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 Geometry: Triangles Solvers Lessons Answers archive Quiz In Depth

 Question 509239: In triangle ABC, AB + 2(BC) = BC + 2(AB) and AC + 2(AB) = AB + 2(AC). Classify triangle ABC. A. Scalene B. Isosceles C. Equilateral D. Right Answer by richard1234(5390)   (Show Source): You can put this solution on YOUR website!We note that the two equations are equivalent to "AB = BC" and "AB = AC." Hence, AB = BC = AC and the triangle is equilateral. Equilateral triangles are sometimes defined to be isosceles as well.