Question

tangent AT= 15cm radius is 8 cm find OT and BT ​
plz write the correct answer with the steps​

Answer 1

Answer:

triangle A0B is right angled triangle

OB^2=AB^2+OA^2

15^2=12^2+OA^2

225=144+OA^2

OA^2=225-144

OA=√81

OA=9cm

radius is 9cm

Answer 2

AB is tangent to circle.

OA is a radius.

To Find : Length of radius.

SOLUTION:

Angle OAB = 90⁰ , as the line drawn from the centre to the tangent of a circle is perpendicular at the point of contact,

Thus, by Pythagoras Theorem, (Hypotenuse)² = (Perpendicular)² + (Base)²

$= >$

${OB}^{2} = {OA}^{2} + {AB}^{2} \\ = > {15}^{2} = {OA}^{2} + {12}^{2} \\ = > 225 - 144 = {OA}^{2} \\ = > {OA}^{2} = 81 \\ = > OA = \sqrt{81} \\ OA = 9$

Thus, lenght of radius = OA = 9cm