can please answer this
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yes it is true BD=DC
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GIVEN, ∆ABC
AD IS PERPENDICULAR TO BC
AD BISECTS ANGLE A.
ANGLE BAD = ANGLE CAD
TO FIND RATHER BD=CD OR NOT?
SOLUTIONS,
IN ∆BAD AND ∆CAD
ANGLE BAD = ANGLE CAD. (GIVEN)
AD = DA. (COMMON)
ANGLE ADB = ANGLE ADC (=90°)
BY ASA CONGRUENCE CRITERION,
∆BAD IS CONGRUENT TO ∆CAD
THUS ,
BY CPCT, BD=CD
THEREFORE WE CAN SAY THAT BD=CD.
IT IS TRUE
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