What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 2 and 6?

1 Answer
Alan P.
Dec 16, 2015

2sqrt(10)

Explanation:

By the Pythagorean Theorem
if a, b, c are three sides of a right triangle with side c being the hypotenuse, then
color(white)("XXX")c^2=a^2+b^2
or
color(white)("XXX")c=sqrt(a^2+b^2)

Allowing a=2 and b=6 (the given example values)
color(white)("XXX")c=sqrt(2^2+6^2)

color(white)("XXXX")=sqrt(40)

color(white)("XXXX")=2sqrt(10)

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