Question

Theorem: The length of two tangents drawn from an external point to a circle are equal.

Answer 1

In `Delta PAD` and `Delta QAD`,
seg `PA ~=`seg QA …(Radii of the same circle )
seg `AD ~=` seg AD …...(Common side )
`/_ APD = /_AQD = 90^(@)` …(Tangent theorem )
`:. Delta PAD ~=Delta QAD ` ....(Hypotenuse side theorem )
`:.` seg `DP ~=` seg DQ ....(c.s.c.t. )