Math, asked by Suhanacool2218, 1 year ago

In an isosceles triangle ABC with AB=AC,D and E are the two points on BC such that BE=CD.show that AD=AS.

Answers

Answered by nikita651
277
in Δabe and in Δacd
ab =ac      
∠B=∠C  
 BE=CD
BY SAS RULE
ΔABE≡ΔACD
 BY CPCT
AE=AD
 
THANK  YOU  :)  :) 
Answered by best17
335
Given :- A triangle ABC in which AB=AC. D and E are points on BC such that BE = CD.

To prove :- AD= AE.

proof :- BE=CD
= BE-DE = CD-DE
= BD = CE

NOW IN TRIANGLE ABD AND TRIANGLE ACE,

AB=AC
ANGLE B = ANGLE C
BD = CE

BY SAS CRITERIA, TRIANGLE ABD CONGRUENT TO TRIANGLE ACE.

BY CPCT, AD = DE

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