SOLUTION: The shortest side of a right triangle measures 8cm. The lengths of the two other sides are consecutive odd integers. Find the lengths of the two other sides

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The shortest side of a right triangle measures 8cm. The lengths of the two other sides are consecutive odd integers. Find the lengths of the two other sides      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 926965: The shortest side of a right triangle measures 8cm. The lengths of the two other sides are consecutive odd integers. Find the lengths of the two other sides
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Applying the Pythagorean Theorem
x^2 + 8^2 = (x+1)^2
x^2 + 64 = x^2 + 2x + 1
63 = 2x
63/2 = x = 31.5, other leg. The hypotenuse = 32.5 31.5+%2B+1
And...checking
31.5^2 + 64 = 32.5^2 = 1056.25