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;
[tex]XZ^2=XY^2+YZ^2[/tex]
Substituting the values, we have;
[tex](19.6)^2=(11.4)^2+(15.2)^2[/tex]
Simplifying, we get;
[tex]384.16=129.96+231.04[/tex]
[tex]384.16\neq 361[/tex]
Since, both sides of the equation are not equal, thus, YZ is not a tangent to the circle X.
