SOLUTION: The perimeter of a right triangle is 12 ft, and one of its legs measures 3 ft. Find the length of the other leg and the hypotenuse.
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Question 323922: The perimeter of a right triangle is 12 ft, and one of its legs measures 3 ft. Find the length of the other leg and the hypotenuse.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let x be the hypotenuse
and y be the other leg
one leg = 3
..
x^2-y^2= 9
(x+y)(x-y)=9
(x+y)=9
9(x-y)=9
x-y =1
x+y+3=12
..
Add the 2 equations
x-y+x+y+3=12+1
2x+3=13
2x=10
x=5 feet the hypotenuse
the second leg will be 4 feet
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