Question

7) Tangent PT drawn from a point P to a cirlce of radius 12 cm touches the circle at point T. If the centre of the circle is O and OP = 20 cm, then what is the length of PT?explain it with diagram​

Answer 1

Given: Radius (OT)= 12cm

OP = 20cm

To find: length of PT

Solution:

BY PYTHAGORAS THEOREM

H²= P² + B²

i.e. OP²= OT²+PT²

PT² = OP² - OT²

PT² = (20)² - (12)²

PT² = 400 - 144

PT² = 256

PT =

$\sqrt{256}$

PT = 16