Question

In tringle ABC , angle B = angle C prove that perpendicular drawn from mid point of BC to AB and AC are equal

Answer 1

Answer:

given-angle B = angle C and M is mid point of BC.

to prove-the perpendiculars OM and ON from mid point of BC are equal.

proof-

as OM is perpendicular to AB

so angle OMB=angle ONC =90•

now in triangle OMB and triangle ONC

angle OMB=angle ONC(each 90)

angle B=angle C(given)

BO=OC(M is mid point of BC)

SO triangle OMB is congruent to triangle ONC(AAS rule)

so

OM=ON(cpct)

HENCE PROVED.

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