Question

PQ is a chord of length 8 cm of a circle of radius 5 cm. The tangents at P and Q intersect at point T. Find the length of TP.​

Answer 1

Answer:

according to the diagram find the answer

Answer 2

Answer:

We have,

We have,OP=5 cm

We have,OP=5 cmPM=4 cm  .......(perpendicular from the centre divides the chord)

We have,OP=5 cmPM=4 cm  .......(perpendicular from the centre divides the chord)OM=3 cm  .......(by using Pythagorean triplet)

We have,OP=5 cmPM=4 cm  .......(perpendicular from the centre divides the chord)OM=3 cm  .......(by using Pythagorean triplet)Let and TP be x.

We have,OP=5 cmPM=4 cm  .......(perpendicular from the centre divides the chord)OM=3 cm  .......(by using Pythagorean triplet)Let and TP be x.Use trigonometric ratio in the triangle PMO and POT we get,

We have,OP=5 cmPM=4 cm  .......(perpendicular from the centre divides the chord)OM=3 cm  .......(by using Pythagorean triplet)Let and TP be x.Use trigonometric ratio in the triangle PMO and POT we get,Therefore, TP =6.66 cm