Question

In triangle ABC, AB + 2(BC) = BC + 2(AB) and AC + 2(AB) = AB + 2(AC). Classify triangle ABC. Scalene
Isosceles
Equilateral
Right

Answer 1

AB + 2(BC) -AB -BC = BC + 2(AB) -AB - BC
BC = AB

AC + 2(AB) -AC - AB = AB + 2(AC) -AC - AB
AB = AC

AB = AC = BC by the transitive property

therefore it must be Equilateral

Answer 2

thank you so much, ytour amazing hun (: