Question

Q.14 ABC is an isosceles triangle with
AB = AC. P and Q are points on AB
and AC respectively such that AP =
AQ. Prove that CP = BQ.​

Answer 1

Step-by-step explanation:

Given AB=AC and AP=AQ then

From the figure PB and QC are equal acc. to your diagram

so, in ∆BQC and ∆CPB

PB=QC (proved above)

angle B = angle C(sinc AB=AC)

BC=CB( common)

∆BQC is congurnt to ∆CPB

therefore, BQ = QC (proved)