Question

What is the length of tangent which is drawn from an external point 13 cm away from a center of a circle of radius 5 cm​

Answer 1

Answer:

Step-by-step explanation:

Let the center o the circle be O

Let the external point be A

Let the point where the tangent meets circle (point of contact) be B

According to the question,

OA = 13cm

OB (radius) = 5cm

At the point of contact, the tangent meets the circle at 90 degree to its radius.

Therefore, triangle OAB is right angled at B

Using pythagoras theorem,

OA2 + OB2 = AB2

169 + 25 = AB2

AB = 14 (APPROX)