Question

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

Answer 1

`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)`.