Question

In the figure PA=PD. Also AB=BC=CD
(a) IF A=50°, then angle D= ?
(b) PB=5 cm, what is the length of PC, why?



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Answer 1

Answer:

In △APB and △DPC, we have

 ∠A=∠D=90∘     and

 ∠APB=∠DPC        [Vertically opposite angles]

Thus, by AA-criterion of similarity, we have

    △APB∼△DPC

⇒ DPAP=PCPB

⇒  AP×PC=DP×PB              [Hence proved]