SOLUTION: I am suppose to solve the followin:
In a right triangle one side is one unit longer than the other side and the perimeter is 12 feet. Find the length of the hypotenuse.
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In a right triangle one side is one unit longer than the other side and the perimeter is 12 feet. Find the length of the hypotenuse.
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Question 56314: I am suppose to solve the followin:
In a right triangle one side is one unit longer than the other side and the perimeter is 12 feet. Find the length of the hypotenuse.
You can put this solution on YOUR website! I am suppose to solve the followin:
In a right triangle one side is one unit longer than the other side and the perimeter is 12 feet. Find the length of the hypotenuse.
I am confused, please help!
Lackinmath
LET SMALLER SIDE =X
OTHER SIDE =X+1
PERIMETER = 12
HENCE THIRD SIDE=HYPOTENUSE = 12-X-X-1=11-2X
SO
(11-2X)^2 = X^2+(X+1)^2=X^2+X^2+2X+1
121+4X^2-44X=2X^2+2X+1
2X^2-46X+120=0
X^2-23X+60=0
X^2-20X-3X+60=0
X(X-20)-3(X-20)=0
(X-3)(X-20)=0
X=3 SINCE 20 IS IMPOSSIBLE
HENCE THE SIDES ARE 3,3+1=4 AND 12-3-4=5
