SOLUTION: one leg of a right triangle is 1 millimeter shorter than the longer leg and the hypotenuse is 1 millimeter longer than the longer leg. find the lengths of the side of the triangle

Algebra ->  Triangles -> SOLUTION: one leg of a right triangle is 1 millimeter shorter than the longer leg and the hypotenuse is 1 millimeter longer than the longer leg. find the lengths of the side of the triangle      Log On


   

Question 358548: one leg of a right triangle is 1 millimeter shorter than the longer leg and the hypotenuse is 1 millimeter longer than the longer leg. find the lengths of the side of the triangle
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
X-1, X+1 & X ARE THE 3 SIDES.
X^2+(X-1)^2=(X+1)^2
X^2+X^2-2X+1=X^2+2X+1
2X^2-X^2-2X-2X+1-1=0
X^2-4X=0
X(X-4)=0
X-4=0
X=4 ANS.
THUS THE SIDES ARE:
X-1=3
X+1=5
OR THIS IS A 3,4,5 RIGHT TRIANGLE.