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nehasingh20060116:
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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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