# SOLUTION: the corollary to theorem 4.7 states, "if a triangle is equiangular then it is equiladeral." Write a proof of this corollary.

Algebra ->  Algebra  -> Geometry-proofs -> SOLUTION: the corollary to theorem 4.7 states, "if a triangle is equiangular then it is equiladeral." Write a proof of this corollary.      Log On

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 Geometry: Proofs in Geometry Solvers Lessons Answers archive Quiz In Depth

 Question 166901This question is from textbook geometry : the corollary to theorem 4.7 states, "if a triangle is equiangular then it is equiladeral." Write a proof of this corollary.This question is from textbook geometry Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!triangle ABC using (=) to mean congruent 1.angle A(=)angle B(=)angle C...........1. given 2 if angle A(=)angle B then AC(=)BC.....2. converse of base angle theorem if angle B(=)angle C then AC(=)AB 3. since AC(=)BC and AC(=)AB............3. transitive then BC(=)AB 4. All sides are equal.therefore......... 4. definition of an equilateral tri this is an equilateral triangle.