Question

Solid Geometry. Problems on Proof.
Prove that all the tangents drawn from external point to circle are equal in length.

Answer 1

To Prove $PT=QT$

Proof : Consider $\Delta OPT$ and $OaT$

$OP=OQ$

$\angle OPT=\angle OQT={90}^0$

$OT=OT$ (common side)

By $RHS$ triangles are equal.

Here $PT=QT$