Question

in triangle xyz angle x y z is equal to 90 degree and xy square + Y Z square equal to 289 find xz​

Answer 1

Answer:

17

Step-by-step explanation:

xy^2+yz^2=xz^2

289=17^2

:xz=17

Answer 2

The value of $XZ$ is $17$ units.

Step-by-step explanation:

In $\triangle XYZ$ where $\angle XYZ=90$° and $XY^{2} +YZ^{2} =289$

∵ $\triangle XYZ$ is right angle triangle.

So,

From Pythagorean Theorem,

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

⇒ $XZ^{2} =289$

⇒$XZ=\sqrt{289}$

∴ $XZ=17$

∴ The value of $XZ$ is $17$ units.