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DIA [1.3K]
1 year ago
11

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

Mathematics
1 answer:
WARRIOR [948]1 year ago
6 0

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.

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