Problem H	Triangular Square
Time Limit	2 Seconds

A triangular square is a square within a triangle. For example, the following figure shows a triangular square (which is not properly scaled).

Input
First line of input is an integer T (< 10000) which specifies the number of test cases to follow. Then comes T lines each of which contains three space delimited integers (less than 1000) expressing the edges of a valid triangle.

Output
For each triangle, print the maximum area of a possible triangular square within it. Print each output in a separate line. Output should be correct up to six decimal places. Follow the sample output below.

Sample Input	Output for Sample Input
2 6 6 6 2 2 2	7.754051 0.861561