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PT is a tangents at T to a circle whose centre is O and radius 20cm. A line segment intersects with circle at point M. If MP=9cm,then find PT.​

Answer»

Given : PT is a tangents at T to a circle whose centre is O and radius 20cm

OP intersect circle at M

MP = 9 cm

To Find :  PT

Solution:

OT =  OM = Radius = 20 cm

OP = OM + MP

=> OP = 20 + 9

=> OP = 29 cm

OP² =  OT² + PT²

=> 29² = 20² + PT²

=> PT² = 29² - 20²

=> PT² = (29 + 20)(29 - 20)

=> PT² = 49 (9)

=> PT = 7(3)

=> PT = 21

PT = 21 cm

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