# SOLUTION: The hypotenuse equals 23 units, find the size of the other two legs of a right triangle with one leg 3 units more than the other. What is the formula?

Algebra ->  Algebra  -> Triangles -> SOLUTION: The hypotenuse equals 23 units, find the size of the other two legs of a right triangle with one leg 3 units more than the other. What is the formula?      Log On

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 Click here to see ALL problems on Triangles Question 154288: The hypotenuse equals 23 units, find the size of the other two legs of a right triangle with one leg 3 units more than the other. What is the formula?Answer by orca(409)   (Show Source): You can put this solution on YOUR website!Let x be the length of the shorter leg, then that of the longer one is x + 3. Applying the Pythagorean Theorem, we have Solving for x, we have (divide both sides by 2) (plug in a=1,b=3,c=-260) So Or (reject this solution as the length can not be negative) Thus the length of the shorter leg is 14.69 units, and the length of the longer one is x+3=14.69+3=17.69 units