SOLUTION: I have to find the length of x. express my answer in simplified radical form. 51ft is the top 45ft is the bottom x is the smaller side on the side so i came up with x^2+45f

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I have to find the length of x. express my answer in simplified radical form. 51ft is the top 45ft is the bottom x is the smaller side on the side so i came up with x^2+45f      Log On


   



Question 81031: I have to find the length of x. express my answer in simplified radical form.
51ft is the top
45ft is the bottom
x is the smaller side on the side
so i came up with
x^2+45ft^2=51ft^2
=x^2+20.25+26.01
=x^2=46.26
I thought the answer of the four will be 68ft but it comes out to 46.24
but my answers to choose from is
18ft
24ft
10ft
68ft

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
your initial equation is correct, but it looks like you made some errors with decimal points and algebra

x%5E2%2B45%5E2=51%5E2 ... x%5E2%2B2025=2601 ... x%5E2=576 ... so x=24