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).

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