Question

In an isosceles triangle ABC , AB = AC , D and E are points on BC such that BE = CD show that AD = AE.​

Answer 1

Step-by-step explanation:

Given:-

AB=AC

CD=EB

To Prove:- AD=BE

Solution:-

AD+DC=AC. -----------1

AE+BE=AC. -----------2

AB=AC. (GIVEN)

SUBSTUTING RESPECTIVE VALUES

AD+DC=AE+EB

SO, CD and EB ARE REMOVED FROM BOTH SIDES BECASE ITS GIVEN THEY ARE EQUAL.

SO,

AD=AE

HENCE PROVED