Question

what is the length of \\(\overline{yz}\\)?
8 cm
17 cm
25 cm
19 cm
15 cm
9 cm

Explanation:

Step1: Apply Pythagorean theorem

For right triangle $XYZ$, $XZ^2 = XY^2 + YZ^2$

Step2: Rearrange to solve for $YZ$

$YZ = \sqrt{XZ^2 - XY^2}$

Step3: Substitute given values

$YZ = \sqrt{17^2 - 8^2} = \sqrt{289 - 64}$

Step4: Calculate final value

$YZ = \sqrt{225} = 15$

Answer:

15 cm