Question

If QT is 9 and TP is 8 Find the length of the following:RPRTRS​

Answer 1

Answer:

i. RP = 17

ii. RT = 15

iii. RS = 30

Step-by-step explanation:

Given that; QT = 9 and TP = 8.

From the diagram, join R to P. Thus RP = QP (radius of the circle)

                        RP = QT + TP

                             = 9 + 8

                         RP = 17

Applying Pythagoras theorem to triangle TRP;

             RT = $\sqrt{(RP)^{2} - (TP)^{2} }$

                  = $\sqrt{17^{2} - 8^{2} }$

                 = $\sqrt{225}$

                 = 15

∴           RT = 15

But, RT = TS = 15.

So that;

       RS = 15 + 15

             = 30

        RS = 30

Therefore;  RP = 17, RT = 15 and RS = 30.