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Q.

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

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a

$A B$

b

AE

c

$B C$

d

$A C$

answer is D.

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Detailed Solution

Question Image

Question Image

$Δ ABD and Δ ACE$

( $A B C$ is isosceles triangle)

$AB ¯ =AC$

$∠ B= ∠ C$

(Given)

By S.A.S axiom

$BD ¯ = CE ¯$

By C.P.C.T

$Δ ABD ≅ Δ ACE$

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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=