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GIVEN :
AB = AC , BD is perpendicular to AC , and CE is perpendicular to AB
TO PROVE:
BD = CE
PROOF :
In triangle ABD and ACE ,
AB = AC ( Given )
Angle A = Angle A ( The angle which belongs to both triangles)
Angle ADB = Angle AEC ( 90 degree each )
Therefore triangle ABD is congruent to triangle ACE
BY CPCT BD = CE
HENCE PROVED
HOPE IT HELPS YOU
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