# SOLUTION: one leg of a triangle is 1 centimeter shorter than the other leg and the hypotenuse is 2 centimeters longer than the longer leg. What are the lengths of the sides of the triangle?

Algebra ->  Algebra  -> Trigonometry-basics -> SOLUTION: one leg of a triangle is 1 centimeter shorter than the other leg and the hypotenuse is 2 centimeters longer than the longer leg. What are the lengths of the sides of the triangle?      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Algebra: Trigonometry Solvers Lessons Answers archive Quiz In Depth

 Question 371180: one leg of a triangle is 1 centimeter shorter than the other leg and the hypotenuse is 2 centimeters longer than the longer leg. What are the lengths of the sides of the triangle?Answer by mananth(12270)   (Show Source): You can put this solution on YOUR website!let one leg be x other leg = x-1 hypotenuse = x+2 .. x^2+(x-1)^2=(x+2)^2 x^2+x^2-2x+1= x^2 +4x+4 x^2-6x-3=0 solve for x using quadratic formula discriminant = 48 x1=((6+sqrt(48))/2 x1= 6.46cm one leg other leg will be 5.46cm hypotenuse = 7.46cm ... m.ananth@hotmail.ca