The lengths of the legs of a right triangle are 5 centimeters and 10 centimeters. Which of the following measures is closest to the length o

Question

The lengths of the legs of a right triangle are 5 centimeters and 10 centimeters. Which of the following measures is closest to the length of the hypotenuse?

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Nho 4 years 2021-08-19T09:07:53+00:00 1 Answers 2 views 0

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  1. RobertKer
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    2021-08-19T09:09:52+00:00
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    Hey there!

    The length of the hypotenuse is about 11 centimeters.

    To solve this, we use the formula a^2+b^2=c^2, where c is the hypotenuse leg and a and b are the other sides. So we can plug the numbers in to the formula:

    5^2 + 10^2 = c^2

    Now we get the squares of 5 and 10:

    25 + 100 = c^2

    Add 25 and 100:

    125 = c^2

    Take the square root from both sides:

    11.18033... = c

    The length of the hypotenuse is about 11 centimeters.

    Hope it helps and have an amazing day!

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