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

Question 1005607: the shortest side of a triangle measures 8cm. The lengths of the other two sides are consecutive odd integers. Find the lengths of the other two sides.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
I happen to know the 8/15/17 right triangle.
By inspection, the two other sides are 15 and 17. The squares of the short sides equal the square of the long side, which is 17^2, or 289.
I would wonder a priori if this is a right triangle,since there are no angles given, and one can't solve a triangle given one side without knowing an angle or the perimeter.
then x=1 other side, x+2=other, and that has to be the hypotenuse.
x^2+8^2=(x+2)^2
x^2+64=x^2+4x+4
60=4x
x=15
x+2=17
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