Practicing Success
If PT is a tangent at T to a circle whose centre is O and OP = 17 cm and OT = 8 cm, find the length of the tangent segment PT. |
13 cm 14 cm 16 cm 15 cm |
15 cm |
This, the length of the tangent TP is equal to: \( {TP }^{2 } \) = \( {OP }^{2 } \) - \( {OT }^{2 } \) \( {TP }^{2 } \) = \( {17 }^{2 } \) - \( {8 }^{2 } \) \( {TP }^{2 } \) = 289 - 64 \( {TP }^{2 } \) = 225 TP = \(\sqrt { 225}\) = 15 Therefore, PT is 15 cm. |