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

Algebra.Com
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)   (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

RELATED QUESTIONS

One acute angle of a right triangle measures . To the nearest tenth, what is the length... (answered by richard1234)
The hypotenuse of a right triangle measures 18m and one leg measures 11 m. What is the... (answered by Fombitz)
If two sides of a triangle are 10 meters and 23 meters long, then the third side must... (answered by Earlsdon,Alan3354)
If, one of the sides of a right triangle measures 5 feet, and the hypotenuse measures 13... (answered by rfer)
the perimeter of a triangle is 29 meters. the first side is 6 meters longer than the... (answered by KMST)
what is the third side of a triangle if one side measures 10 cm, the second measures 15... (answered by bmckenzie40)
the hypotenuse of a right triangle is 50 meters long and one side is 30 meters long what... (answered by Cromlix)
The Hypotenuse and one leg of a right triangle are 65 and 60 meters. What is the length... (answered by macston)
The hypotenuse of a right triangle measures 90 meters and one leg measures 72 meters find (answered by checkley77)