Question

Point O is the center of the circle. What is the value of X?
Answer options: 9, 17, 8, 15

Answer 1

The answer is 15

.............................

Answer 2

x = 15

Explanation:

OP and PQ intersect at right angles since PQ is tangent to the circle. This implies that OQ will be the hypotenuse in the right angled triangle OPQ.

Applying Pythagoras theorem;

17^2 - 8^2 = x^2

x = 15