Question

Basic Proportionality Theorem.
Prove that the Lengths of the Tangents drawn from an external point to a circle are equal.
lets c who does it

Answer 1

Answer:

given:

PQ and PR are tangents.

o is the centre of the circle

To prove:

PQ=PR

construction:

join OP,OQ and OR

proof:

in triangle OPQ and OPR,

OP=OP (common)

OQ=OR (radii of the same circle)

Angle OQP=Angle ORP =90 degree ( radius is perpendicular to the tangent at the point of contact)

by RHS congruence criteria,

triangle OPQ=triangle OPR

by CPCT,

PQ=PR

Hence Proved.

Answer 2

Answer:

Check your answer please