Question

Find the unknown length of the right triangle. If necessary approximate the length to the nearest thousandth

Answer 1

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:

`h^2=(10km)^2+(20km)^2`

Now, we solve the square:

`h^2=100km^2+400km^2`

Now, we add the values:

`h^2=500km^2`

Now, we take the square root to both sides:

`h=\sqrt[]{500km^2}`

Solving the operations:

`h=22.361km`

Therefore, the length of the hypotenuse is 22.361 kilometers.