Question

In the figure PA=PD and AB=BC=CD. If angle A=50° then what is angle D? If PB= 5cm then what is the length of PC? Why?​

Answer 1

Answer:

As we know that tangents drawn from any external point (here, it is P) to a circle are equal in length. So,PA=PB.

1) CQ=CB=3 cm

(Since C acts as an external point from where tangents CB & CQ are drawn to the circle, and we know that tangents drawn from any external point to a circle are equal in length, so CQ=CB (similar to the way we proved PA=PB)

2) PB=PA=8 cm

Now, Since PC+CB=PB=8 cm

=> PC=(8−CB)cm=(8−3)cm=5 cm.

Answer 2

Answer:

PC length is  5

Step-by-step explanation:

As we know that tangents drawn from any external point (here, it is P) to a circle are equal in length. So,PA=PB.

1) CQ=CB=3 cm

(Since C acts as an external point from where tangents CB & CQ are drawn to the circle, and we know that tangents drawn from any external point to a circle are equal in length, so CQ=CB (similar to the way we proved PA=PB)

2) PB=PA=8 cm

Now, Since PC+CB=PB=8 cm

=> PC=(8−CB)cm=(8−3)cm=5 cm.