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
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-> 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
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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
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.
