Crossed ladders

本文介绍了一种使用梯形法解决特定几何问题的方法——通过已知梯子长度及交叉点高度计算街道宽度。输入包含梯子长度及交叉点高度,输出街道宽度的精确值。

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第 2326 题  : 
(时间限制为:1000毫秒)

 

Description
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?
Input
Each line of input contains three positive floating point numbers giving the values of x, y, and c.
Output
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
Sample Output
26.033
7.000
8.000
9.798
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