Answer:
[tex]\boxed{\tt x=\sqrt{89} }[/tex]
Step-by-step explanation:
We'll use the Pythagorean Theorem
Equation: [tex]\tt a^2+b^2=c^2[/tex]
where a and b are the lengths of the two legs of triangle, and c is the hypotenuse.
*A and b can be switched because they are legs*
[tex]\tt a^2+b^2=c^2[/tex]
Plug in the side lengths:
[tex]\tt 5^2+8^2=x^2[/tex]
Evaluate 5^2 and 8^2:
[tex]\tt 25+64=x^2[/tex]
Add 25 and 64 = 89
[tex]\tt 89=x^2[/tex]
Now, take the square root of each side:
[tex]\tt x=\sqrt{89} [/tex]
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