Question

Which of the following represent the value of the missing side? Round to the nearest tenth.

A. 2.0
B. 2.5
C. 2.9
D. 3.0

Answer 1

x=2.0

Explanation:

Assuming side x is tangent to the circle, we know that this is a right triangle

One of the sides is the radius. We know the radius is 1.5 units long

The other is 1.5+1 units. The length of this side is 2.5 units.

Using the pythagorean theorem...

x²+1.5²=2.5²

x²=6.25-2.25

√x²=√4

x=2

Hope this helps!