Question

Show that the two tangents drawn from an external point to a circle are equal.

Answer 1

In $\Delta PBC$ and $\Delta PAC$

$PC=PC$ (common)

$\angle A=\angle B$ (Right angles)

$BC=AC$ (Radii)

So, $\Delta PBC\cong \Delta PAC$ ($SAS$ criteria)

and thus, $PB=PA$ ($CPCT$)