in fig triangle ABC is isosceles triangle with AB = AC , AB perpendicular to BD and AC perpendicular to CD . prove that BD =CD
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Join AD.
now in triangle ABD and triangle ACD ,
AB = AC (Given)
AD = AD (common in both triangle)
ABD = ACD (Both are 90°)
so triangle ABD and triangle ACD are congruent.
so BD = CD ( corresponding parts of congruent triangle) or (CPCT)
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