Question

O is any point within the triangle ABC. The perpendicular OM,ON to AB and BC are equal.Prove that BO is the Bisector of ∆ ABC.

Answer 1

Answer:I think we have to prove BO is the bisector of angle ABC !

Step-by-step explanation:In ∆OMB and ∆ONB

angle OMB=angle ONB (EACH 90°)

OM=ON (GIVEN)

BO=OB (COMMON)

angle OBM=angle OBN (by CPCT)

Hence proved BO is the bisector of angle ABC