On the sides AB and BC of the triangle ABC such points as E and K are taken, that AE = CK. It is known that AB = BC.
| December 6, 2020 | education
On the sides AB and BC of the triangle ABC such points as E and K are taken, that AE = CK. It is known that AB = BC. Prove the equality of triangles ABK and CBE.
They are equal in the first sign of the equality of triangles, since AB = BC and AE = CK, then EB = ВK. They have a common angle B. Means two sides: AB = BC and EB = ВK; and one angle is equal to each other, so the triangles are equal.
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