Find lenght of tangent drawn to a circle with radius 8 cm from a point 17 cm away from the centre
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length of tangent is 15 cm.
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Answer:
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. (...Ans....)
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