Question

10. Find the length of the tangent from an external point P at a distance of 20 cm from the centre of a circle of radius 12 cm.​

Answer 1

Answer:

let length of tangent be x

(12)^2 + (x)^2 = (20)^2

144 + (x)^2 = 400

(x)^2 = 256

x = 16

Answer 2

Answer:

The length of the tangent from the external point P is 16cm.

Step-by-step explanation:

The length of a tangent is equal to the length of a line segment with end-points as the external point and the point of contact.

It is given that the external point P is at a distance of 20cm.

Radius of circle is 12 cm.

We know that the tangent is perpendicular at the point of contact with the radius.

So this forms a right angled triangle.

Here radius is the shortest side.

Distance between the center and external point P is the hypotenuse.

The other side is the length of the tangent.

Let the length of the tangent be x.

We know that in a right angled triangle,

$(Hypotenuse)^{2}= (Opposite side)^{2} +(Adjacent side)^{2}$

$20^{2}=12^{2} +x^{2}$

$400=144+x^{2}$

$x^{2} =400-144$

$x^{2} =256$

$x=16$

Therefore the length of the tangent is 16cm.

To know more about tangent go to the following link.

https://brainly.in/question/5248699

To know more about right angle triangle go to the following link.

https://brainly.in/question/54995792

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