Question

Determine if YZ is tangent to circle x.

Answer 1

Using the Pythagorean Theorem, XZ is suppose to have a length of 19 inches

YZ is not a tangent to circle x

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

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

substitute the given values

`XZ^2=15.2^2+11.4^2`

`XZ^2=361`

`XZ=19\ in`

`19\ in \\eq 19.6\ in`

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