Question

Line segment QP is tangent to the circle.What is the length of line segment QP? Round to the nearest unit. 13 units 17 units 18 units 20 units

Answer 1

20 units

Explanation:

The complete question is attached in the image.

QP is tangent and MP is a secant.

The secant-tangent theorem tells us that the external part of secant multiplied by whole secant would be equal to the tangent squared.

Thus, we can say:

MP * NP = QP^2

So, we can write from the image and figure out QP:

`MP * NP = QP^2\\(24+11.5)(11.5)=QP^2\\(35.5)(11.5)=QP^2\\408.25=QP^2\\QP=20.2`

Out of the answer choices, rounded, it will be

QP = 20 units