Question

16. Prove that "The lengths of the two tangents from an external point to
a circle are equal."


pls answer fast!!!

Answer 1

Answer:

data:'o' is the center of a circle

'P' is the external point

PQ & PR are the two tangents

prove:PQ =PR

construction : join OP,OQ,OR

proof: in triangle OQP &OPR

OQ = OR (radius)

OP = OP (common)

angle Q = angle R =90*

therefore triangle OQP congruent to triangle ORP( RHS postulate)

therefore PQ = PR (C P C T )