find the x in the tringle

The right answer is 9.
Please see the attached picture for full solution
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Good luck on your assignment....
Answer:
x = 9
Step-by-step explanation:
→You can use the Pythagorean Theorem to solve:
[tex]a^2+b^2=c^2[/tex]
→The "a," and "b," are the legs, and the "c," is the hypotenuse. In this case, we are already given the hypotenuse as 41, and we are trying to find a leg:
[tex]40^2+b^2=41^2[/tex]
[tex]1600+b^2 = 1681[/tex]
→Subtract 1600 from both sides:
[tex]b^2=81[/tex]
→To get "b," by itself, square root both sides, like so:
[tex]\sqrt{b^2} =\sqrt{81}[/tex]
→81 is a perfect square meaning it has two factors that are identical.
[tex]b = 9[/tex]