Question

What must be the length of ZY in order for ZY to be tangent

Answer 1

Answer:

15 units

Step-by-step explanation:

The picture of the question in the attached figure

we know that

Triangle XYZ is a right triangle, because segment ZY is tangent to circle X at point Y

so

Applying the Pythagorean Theorem

$XZ^2=XY^2+ZY^2$

we have

$XZ=8+9=17\ units\\XY=8\ units$

substitute the given values

$17^2=8^2+ZY^2$

$ZY^2=289-64\\ZY^2=225\\ZY=15\ units$

Answer 2

Answer:

15

Step-by-step explanation: