The length of tangent drawn from a point 17cm away from the centre of a circle of radius 8cm is
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Answer:Let O is the center of the circle and tangent touches the circle at point T. Then, triangle OPT will be a right angle triangle. So, length of tangent will be 15 cm.
Step-by-step explanation:
Answered by
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Step-by-step explanation:
Draw a circle with centre O.
Such that AB is a tangent of the circle and OB is the radius of the circle = 8 cm. And join AO such that AO = 17 cm.
Now in triangle AOB.
AB = under root (AO)^2 - (OB)^2 cm.
= under root (17)^2 - (8)^2 cm.
= under root 289 - 64 cm.
= under root 225 cm.
= 15 cm
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