Question

Prove that the lengths of tangents drawn from an external point to a circle are

equal.​

Answer 1

Step-by-step explanation:

Let the center of the circle be o and the two tangents be pq and pr with points of contact q and r respectively.

join o and p.

now,

In triangles pqo and pro we've:-

<q=<r=90° [tangents form 90°with radius]

po=po [common in both triangles]

qo=ro [radii of the same circle]

hence by RHS rule of congruency,

triangle pqo is congruent to triangle pro

and,

pq=pr [C.P.C.T.]

hence prooved...

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