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What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 1 and 5?

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Mar 23, 2018

Answer:

#sqrt26# units

Explanation:

Use the Pythagorean theorem to find the length of the hypotenuse:

#a^2+b^2=c^2#, where c represents the hypotenuse and a and b are the legs (the two shortest sides)

We know that the legs of the right triangle are 1 and 5, we need to find the hypotenuse (c).

#1^2+5^2=c^2#

#1+25=c^2#

#26=c^2#

#c=sqrt26#

The hypotenuse is #sqrt26# units

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