Question

In fig P and Q are two points on equal sides AB and AC of an isosceles triangle ABC such that AP = AQ. Prove that BQ = CP

Answer 1

Triangle ABC is an isoceles triangle
Therefore,
AB=AC(isoceles triangle property).........(1)
We know that,
AP=AQ..….......(2)
Subtracting (2) from (1)
AB-AQ= AC-AP
BQ=CP

Answer 2

BQ= CP by the rule C.P.C.R