In an isosceles triangle ABC (AB = BC), point E is the midpoint of side AC. Are triangles ABE and CBE equal?

univerkov | April 5, 2021 | education

Side AB of triangle ABE is equal to side BC of triangle CBE by condition.

Side AE of triangle ABE is equal to side EC because point E bisects side AC.

The BE side is common to both triangles.

We have a case when three sides of one triangle are equal to three sides of another triangle. It follows from this that ΔABE = ΔCBE.

Answer: ΔABE = ΔCBE.

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