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hello mates
since we know that
BD=CE (GIVEN)
SO..
ALSO,
BD =1/2×AB --1(BY MID PT THEOREM)
CE=1/2×AC--2(BY MID PT THEOREM)
NOW BY
--1 AND --2
AB = CE ( SINCE THERE HALVES ARE EQUAL)
NOW IF
TWO SIDES OF A TRIANGLE ARE EQUAL THEN THE TRIANGLE IS AN ISOSCELES TRIANGLE..
HENCE IT IS PROVED
HOPE MY ANSWER WILL HELP YOU