Problem B: Crossed ladders
A narrow street is lined with tall buildings. An x foot long
ladder is rested at the base of the building on the right side of the
street and leans on the building on the left side. A y foot long
ladder is rested at the base of the building on the left side of the
street and leans on the building on the right side. The point where
the two ladders cross is exactly c feet from the ground. How
wide is the street?
Each line of input contains three positive floating point numbers
giving the values of x, y, and c.
For each line of input, output one line with a floating point number
giving the width of the street in feet, with three decimal digits in the
fraction.
Sample input
30 40 10
12.619429 8.163332 3
10 10 3
10 10 1
Output for sample input
26.033
7.000
8.000
9.798