SOLUTION: One side of a right triangle measures 6 meters. If the hypotenuse measures 10 meters, what is the lenght of the third side?

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Question 592710: One side of a right triangle measures 6 meters. If the hypotenuse measures 10 meters, what is the lenght of the third side?
Answer by mamiya(56) About Me  (Show Source):
You can put this solution on YOUR website!
let x be the side we are looking for, y the side that is 6 and z the hypotenuse
We know by the Pythagorean Theorem that ,
z^2 = x^2 + y^2 --> x^2 = z^2 - y^2
--> x = sqrt( z^2 - y^2) ( x can't be a negative number)
--> x = sqrt( 10^2 - 6^2)
= sqrt( 100-36)
= sqrt( 64)
=8
so the third side is 8 meters