SOLUTION: the hypotinuse of a right triangle is 6 m long. one leg is 1 m longer than the other. find the length of the shorter leg. round to the nearst hundred.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: the hypotinuse of a right triangle is 6 m long. one leg is 1 m longer than the other. find the length of the shorter leg. round to the nearst hundred.      Log On


   

Question 39683: the hypotinuse of a right triangle is 6 m long. one leg is 1 m longer than the other. find the length of the shorter leg. round to the nearst hundred.
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
Length of one side = x+1
Length of other side = x
EQUATION:
%28x%2B1%29%5E2%2Bx%5E2=6%5E2
2x%5E2%2B2x%2B1=36
2x%5E2%2B2x-25=0
x=3.71
3.71+1=4.71
Hence, the sides are 4.71cm and 3.71 cm
Paul.