Question

find the length of tangent drawn to a circle with radius 8 cm from a point 17cm away from the centre of the circle ​

Answer 1

Answer:

15 cm.

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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