Question

A tangent PQ at a point P of a circle of
radius 5 cm meets a line through
the centre 0 at a point Q so that
OQ = 12 cm. Find length of PQ.​

Answer 1

O is the center of the circle. Thus OP = 5 cm, which is the radius of the circle, and OQ = 12 cm. ... The tangent at any point of circle is perpendicular to the radius through the point of contact. ∴∠OPQ=90∘.

Answer 2

Answer:

PQO is a right-angled triangle

in that OQ is a hypotenuses = 12 cm

PO is a side of that triangle = 5 cm

PQ = √QO²+ PO²

∴Pytogerous Theorem

PQ= √12²+5²

√169 = PQ

PQ = 13cm

∴length of PQ = 13cm

∴13, 12, 5 are pythogeren triplets