Is YZ tangent to circle x

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;

Substituting the values, we have;

Simplifying, we get;

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

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step-by-step explanation: