Answer:
[tex]\boxed{\sf B)\: x=\sqrt{17}}[/tex]
Step-by-step explanation:
Use the Pythagorean Theorem
The equation for the Pythagorean Theorem is [tex]\tt a^2+b^2=c^2[/tex]
* a and b are the lengths of the legs, and c is the hypotenuse.*
(To know which side is the hypotenuse look at longest side which is across the right angle).
a= x, b=8, c=9
[tex]\sf a^2+b^2=c^2[/tex]
Let's Plug in the side lengths:
[tex]\sf x^2+8^2=9^2[/tex]
Evaluate 8^2 and 9^2:
[tex]\sf x^2+64=81[/tex]
Subtract 64 from both sides:
[tex]\sf x^2+64-64=81-64[/tex]
[tex]\sf x^2=17[/tex]
Take the square root of both sides:
[tex]\sf x=\sqrt{17}[/tex]
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