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  If, in an isosceles triangle  ABC with AB=AC and D,E  are points on BC such that BE=CD, then AD=    

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a
AB
 
b
AC
 
c
BC
 
d
AE
 

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detailed solution

Correct option is D

 

Δ ABD and Δ ACE 

(ABC  is isosceles triangle)

AB ¯ =AC 

B=C 

(Given)

By S.A.S axiom

BD ¯ = CE ¯ 

By C.P.C.T

ΔABDΔACE 

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