Question

Determine if YZ is tangent to circle x.

Answer 1

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

$XZ^2=YZ^2+XY^2$

substitute the given values

$XZ^2=15.2^2+11.4^2$

$XZ^2=361$

$XZ=19\ in$

$19\ in \neq 19.6\ in$

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