Question

In the adjoining figure, X and Yare respectively two points on equalsides AB and AC triangle ABC such that AX=AY. Prove that CX =
BY​

Answer 1

Answer:

Step-by-step explanation:

It is given that AX=AY

Considering △AXC and △AYB

∠A is common i.e. ∠A=∠A

We know that the sides of the equilateral triangle are equal so we get

AC=AB

By SAS congruence criterion

△AXC≅△AY

BXC=YB(c.p.c.t)

Therefore, it is proved that CX=BY