What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 14 and 2?

1 Answer
Dec 12, 2015

10sqrt(2)

Explanation:

Recall that the Pythagorean Theorem allows us to find the length of any side in a right angle triangle, given two side lengths. The formula for the Pythagorean Theorem is:

a^2+b^2=c^2

where:
a=height
b=base
c=hypotenuse

To find the hypotenuse, substitute your known values into the equation:

a^2+b^2=c^2
(14)^2+(2)^2=c^2
196+4=c^2
200=c^2
c=sqrt(200)
c=sqrt(100)*sqrt(2)
c=10sqrt(2)

:., the length of the hypotenuse is 10sqrt(2).