Question

In the given figure,X and Y are two points on equal sides AB and AC of a triangleABC such that AX=AY.Prove that BX=CY

Answer 1

Given,

AB=AC

And AX=AY

To prove: BX=CY

proof:AX+BX=AB

AY+CY=AC

AB=AC (given)

AX+BX=AY+CY

AX+BX=AX+CY(AX=AY)

AX-AX+BX=CY

BX=CY