Question

b. In the given figure, AP bisects angle BAC, CO is perpendicular to AC, BO is perpendicular AB, Prove that AB = AC O A Р B​

Answer 1

Answer:

Given: △ABC, AP bisects ∠BAC, MQ⊥AB,MN⊥AC

In △AMQ and △AMN

AM=AM (Common)

∠MAQ=∠MAN (AP bisects ∠A)

∠MQA=∠MNA (Each 90

∘

)

thus, △AQM≅△ANM (ASA rule)

Hence, MQ=MN

Perpendicula and rs from M on AB and AC are equal