In figure, PQ is a chord of length 8 cm of a circle of radius 5 cm. The tangents at P and Q intersect at a point T. Find the lengths of TP and TQ.
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In figure, PQ is a chord of length 8 cm of a circle of radius 5 cm. The tangents at P and Q intersect at a point T. Find the lengths of TP and TQ.
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Answer:
HEY MATE HERE'S YOUR ANSWER
Step-by-step explanation:
We have,
OP=5 cm
PM=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,
tan theta=4/3
=x/5
x=20/3 cm
Therefore, TP =6.66 cm
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