Question

In figure 3.77, ray PQ touches the circle at point Q. PQ = 12, PR = 8, find PS and RS.

Answer 1

ps is equal to 18 and rs is equal to 10

Answer 2

Answer:

PS = 18, RS = 10

Step-by-step explanation:

Given In figure 3.77, ray PQ touches the circle at point Q. PQ = 12, PR = 8, find PS and RS.

Using tangent secant segment theorem, we get

PQ^2 = PR x PS

12^2 = 8 x PS

144 = 8 x PS

PS = 144 / 8

PS = 18 units.

Now PS = PR + RS

       RS = PS – PR

      RS = 18 – 8

    RS = 10  units