Question

9. The length of tangent drawn from a point 17 cm away from the centre of
a circle of radius 8 cm is
A) 25 cm
B) 9 cm
C) 15 cm
D) 8.5 cm​

Answer 1

Answer:

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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Answer 2

Answer:

c) 15cm

Step-by-step explanation:

Let O be the centre of the circle and the tangent touches the circle at point T.

=>Triangle OPT = Right Angled Triangle

Given that, OP=17cm, OT=8cm (radius)

PT² = OP² - OT²

PT² = 17² - 8²

PT² = 289 - 64

PT² = 225

PT = $\sqrt{225}$

PT = 15cm

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