If PA and PB are tangents from an outside point P. such that PA = 10 cm and . Find the length of chord AB.

Question

Philoid · Accepted Answer

Given: PA and PB are tangent of a circle PA= 10 cm and angle APB= 60^o

Let O be the center of the given circle and C be the point of intersection of OP and AB

In triangle PAC and triangle PBC

PA = PB (tangent from an external point are equal)

APC =BPC (tangent from an external point are equally inclined to the segment joining center to the point)

PC =PC (common)