Question

Is YZ tangent to circle x

Answer 1

Given:

The radius of the circle XY is XY = 11.4 in

The length of ZY is 15.2 in

The length of XZ is 19.6 in

We need to determine whether YZ is a tangent to the circle X.

Is YZ tangent to the circle X:

We shall determine whether YZ is a tangent to the circle X by using the Pythagorean theorem.

Thus, we have;

`XZ^2=XY^2+YZ^2`

Substituting the values, we have;

`(19.6)^2=(11.4)^2+(15.2)^2`

Simplifying, we get;

`384.16=129.96+231.04`

`384.16\\eq 361`

Since, both sides of the equation are not equal, thus, YZ is not a tangent to the circle X.