In the adjoining diagram, BM = CN Prove that triangle ABC is isosceles.
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In Triangle NCB and MCB,
angleN = angleM (90 degree)
BM = CN ( Given )
BC = BC (Common)
BY RHS BOTH THE TRIANGLES ARE CONGRUENT....
BY CPCT
angleACB = angleABC
IF IN A TRIANGLE TWO ANGLES ARE EQUAL THEN THEY ARE ISOSCELES.
HENCE, PROVED.
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