Are tangent and secant equal?

Geometry Level 3


The answer is 11.

Sai Aryanreddy by sai aryanreddy , 28, India

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1 solution

Hassan Abdulla
Jan 26, 2020

Power of a Point

P T 2 = P A ⋅ P B = P A ⋅ ( P A + 2 r ) = 10 ⋅ ( 10 + 2.1 ) = 121 ⇒ P T = 11 \begin{aligned} PT^2 &= PA \cdot PB \\ &= PA \cdot \left (PA + 2r \right )\\ &= 10 \cdot \left (10 + 2.1 \right ) = 121 \\ \color{#D61F06} \Rightarrow PT & \color{#D61F06} = 11 \\ \end{aligned}

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