Answer:
Using the Pythagorean Theorem, XZ is suppose to have a length of 19 inches
YZ is not a tangent to circle x
Step-by-step explanation:
we know that
If YZ is tangent to circle X at point Y
then
XYZ is a right triangle
Remember that
Any right triangle must satisfy the Pythagorean Theorem
so
[tex]XZ^2=YZ^2+XY^2[/tex]
substitute the given values
[tex]XZ^2=15.2^2+11.4^2[/tex]
[tex]XZ^2=361[/tex]
[tex]XZ=19\ in[/tex]
[tex]19\ in \neq 19.6\ in[/tex]
Using the Pythagorean Theorem, XZ is suppose to have a length of 19 inches
so
Triangle XYZ not satisfy the Pythagorean theorem
therefore
YZ is not a tangent to circle x
