We are given a right triangle and we are asked to determine the hypotenuse given the measure of its sides. To do that we will use the Pythagorean theorem:
[tex]h^2=(10km)^2+(20km)^2[/tex]
Now, we solve the square:
[tex]h^2=100km^2+400km^2[/tex]
Now, we add the values:
[tex]h^2=500km^2[/tex]
Now, we take the square root to both sides:
[tex]h=\sqrt[]{500km^2}[/tex]
Solving the operations:
[tex]h=22.361km[/tex]
Therefore, the length of the hypotenuse is 22.361 kilometers.
