1013 . In-circles Again
Description
In the figure below you can see triangle ABC and its in-circle (Circle that touches all the sides of
a triangle internally). The radius of this in circle is r. Three other circles are drawn. Each of them
touches two sides of this triangle and the in circle of ABC. The radiuses of these circles are r1, r2
and r3.
Given the values of r1, r2 and r3 you will have to find the area of triangle ABC.
Input Format
The input file can contain up to 1000 lines of inputs. Each line contains three positive floating-
point numbers which denotes the values of r1, r2 and r3 respectively.
Input is terminated by a line containing three negative integers.
Output Format
For each line of input produce one line of output. This line contains serial of output followed by
a floating-point number which denotes the area of triangle ABC. This floating-point number may
have two digits after the decimal point. You can assume that for the given values of r1, r2 and
r3 it will always be possible to construct a triangle ABC. If required you can assume that pi =
3.141592653589793 and also use double precision floating-point numbers for floating-point
calculations. You can assume that there will be no such input for which small precision errors
will cause difference in printed output. Look at the output for sample input for details.
Sample Input 1
5.3025839959 20.7869367050 31.8019699761 71.9474500429 84.8796672233 37.6219288070 -1 -1 -1
Sample Output 1
Case 1: 18237.14 Case 2: 195777.32
Hints
Problem Source
Migrated from old NTUJ.
2009Phuket
Subtasks
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