SOLUTION: In a right angled triangle, the shortest side = x the hypotenuse = 2x+1 the remaining side = 2x - 1 Find the length of the hypotenuse

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: In a right angled triangle, the shortest side = x the hypotenuse = 2x+1 the remaining side = 2x - 1 Find the length of the hypotenuse       Log On


   



Question 143694: In a right angled triangle,
the shortest side = x
the hypotenuse = 2x+1
the remaining side = 2x - 1
Find the length of the hypotenuse

Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
x^2+(2x-1)^2=(2x+1)^2
x^2+4x^2-4x+1=4x^2+4x+1
x^2-8x=0
x(x-8)=0
then x=8 or x=0
then x=8 and 2x+1=17
Answer the length of the hypotenuse is 17