AD is the bisector of angle A of triangle ABC.PQ and PR are perpendiculars from any point lying on AD,P to sides AB and ACrespectively.Show that triangle PQAcongruent to PRA and PQ=PR. Plscheck my answer .
Proof In triangle PQAand PRA
angleAQP=angleARP(90 degree)
AP=AP(common)
anglePQA=anglePAR
Therefore triangle PQA congruent to triangle PRA(ASA rule)
2.triangle PQAcongruentto triangle PRA
AQ=AR.
Therefore PQ=PR(By CPCT)
9.
The solution is correct , except the mistake in third step:
Angle PAQ= Angle PAR ( AD is bisector of angle A).
Angle PAQ= Angle PAR ( AD is bisector of angle A).