Question

If $PT$ is a tangent at $T$ to a circle whose centre is $O$ and $OP=17cm,OT=8cm$, Find the length of the tangent segment $PT$.

• A. $55cm$
• B. $15cm$
• C. $150cm$
• D. $5cm$

Answer 1

The correct option is B $15cm$

From the given figure we can say that,

Length of tangent segment $PT=\sqrt{O{P}^2-O{T}^2}$................... $(\Delta POTisart.\angle dtriangle)$

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

$=\sqrt{289-64}$

$=\sqrt{225}$

$=15cm$ (Ans)