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The math problem of grade three proves: Is a triangle with two equal angles an isosceles triangle?
It is known that in triangle ABC, angle A= angle B.

Verification: Triangle ABC is an isosceles triangle.

Proof: Make the angular bisector AD of △ABC.

∠BAD=∠CAD

In △BAD and △CAD

∠B=∠C

∠BAD=∠CAD

AD=AD

∴△BAD≌△CAD(AAS)

∴AB=AC (the corresponding sides of congruent triangles are equal)

Triangle ABC is an isosceles triangle.

This is my conclusion after meditation.

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