SOLUTION: the hypotenuse of a right triangle is 1m less than twice the shortest side. if the third side is 1m more than the shortest side,find the sides of the triangle

Algebra ->  Triangles -> SOLUTION: the hypotenuse of a right triangle is 1m less than twice the shortest side. if the third side is 1m more than the shortest side,find the sides of the triangle       Log On


   

Question 955309: the hypotenuse of a right triangle is 1m less than twice the shortest side. if the third side is 1m more than the shortest side,find the sides of the triangle
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
H=2S-1
L=S%2B1
and
L%5E2%2BS%5E2=H%5E2
%28S%2B1%29%5E2%2BS%5E2=%282S-1%29%5E2
S%5E2%2B2S%2B1%2BS%5E2=4S%5E2-4S%2B1
2S%5E2%2B2S%2B1=4S%5E2-4S%2B1
2S%5E2-6S=0
2S%28S-3%29=0
S-3=0
S=3
Then,
L=3%2B1
L=4
and
H=2%283%29-1
H=6-1
H=5