We have here a right triangle, and to find the sides of this triangle, we can use the Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
Where a and b are the sides of the triangle and c is the hypotenuse. Then, we have:
[tex]10^2+x^2=20^2\Rightarrow x^2=20^2-10^2\Rightarrow x^2=400-100\Rightarrow x^2=300[/tex]
Thus, the side x is (taking the square root to both sides of the equation):
[tex]\sqrt[]{x^2}=\sqrt[]{300}\Rightarrow x=\sqrt[]{300}\Rightarrow x=17.320508[/tex]
Rounding the answer to the nearest hundredth, we have:
x = 17.32 units.
