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here ,
given that angle BEC = 90° .
then angle AEB = 90° ( by linear pair )
similarly , angle BFC is 90°
so angle AFC will also be 90°
Now , in ∆ ABE & ∆ ACF
angle A = angle A ( common angle )
angle AEB = angle AFC ( both 90° )
FC = EB ( given )
by AAS congruence , we can say that ∆ ABE is congruent to ∆ ACF
and by c.p.c.t. ,
AB=AC
so ∆ ABC is isosceles .
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