SOLUTION: The hypotenuse of a right triangle is 4 cm longer than three times the length of the shortest leg. The other leg is 1 cm shorter than the hypotenuse. Determine the lengths of the t

Algebra ->  Triangles -> SOLUTION: The hypotenuse of a right triangle is 4 cm longer than three times the length of the shortest leg. The other leg is 1 cm shorter than the hypotenuse. Determine the lengths of the t      Log On


   



Question 609396: The hypotenuse of a right triangle is 4 cm longer than three times the length of the shortest leg. The other leg is 1 cm shorter than the hypotenuse. Determine the lengths of the three legs of the triangle
Answer by flame8855(424) About Me  (Show Source):
You can put this solution on YOUR website!
h= 4+3x
y=h-1=4+3x-1=3+3x
(4+3x)^2=x^2 +(3+3x)^2
16+9x^2+24x=x^2+ 9+9x^2+18x
x^2-6x-7=0
(x+1)(x-7)=0
x= 7
h=25
y=24