Question

find the length of the tangent to a circle with center o and radius 6cm from a point p such that op =10cm
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Answer 1

Answer:

tangent QP = 8 cm

Step-by-step explanation:

The length of the tangent can be found by using Pythagoras property

First, draw a radius on a tangent in such a way that it falls at 90°.

This problem can be solve using Pythagoras Theorem.

This theorem is used for the right angle triangle. In a right-angled triangle if one of the sides is unknown then we can find it by using the formula:

(Hypotenuse)² = (Base)² + (Perpendicular)²

Firstly take the ΔOPQ, We have

OP = 10, OQ = 6 and QP = ?

⇒ (OP)² = (OQ)² + (QP)²

⇒ 100 = 36 + (QP)²

⇒ (QP)² = 100 - 36 = 64

⇒ QP = 8

Thus, tangent QP = 8 cm