Question

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Answer 1

ANSWER:

GIVEN ABC IS AN ISOSCELES TRAINGLE WITH AB=AC

D & E ARE THE POINTS ON BC SUCH THAT

BE≈CD

GIVEN,AB≈AC

THEREFORE,

ANGLE ABD≈ ANGLE ACE ( OPPOSITE ANGLES OF SIDES OF A TRIANGLE)..............(1)

GIVEN BE≈CD

THEN BE-DE≈CD-D

OR

BC ≈CE.......…....…...........…..(1)

IN TRIANGLE ABD & TRIANGLE ACE

ANGLE ABD≈ANGLE ACE .........( FROM 1)

BC≈CE (FROM 2)

AB≈AC (GIVEN)

THEREFORE,

TRIANGLE ABD IS ~ TO TRIANGLE ACE

SO AD≈AE

HENCE PROVED

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