Problem:
Triangle

For given two sides of a triangle a and b and the angle C between them, calculate the following properties:

S: Area of the triangle

L: The length of the circumference of the triangle

h: The height of the triangle with side a as a bottom edge

Input

The length of a, the length of b and the angle C are given in integers.

Output

Print S, L and h in a line respectively. The output should not contain an absolute error greater than 10-4.

Sample Input

4 3 90

Sample Output

6.00000000
12.00000000
3.00000000

Solution in C# (judge verdict: Accepted)

using System.Linq;
using System;
class A{
static void Main(){
double []CS=Console.ReadLine().Split().Select(double.Parse).ToArray();
 
var h = Math.Sin(CS[2] * (Math.PI / 180))*CS[0];
Console.WriteLine(h*CS[1]/(double)2);
var Acchi=CS[1]-Math.Cos(CS[2]*(Math.PI/180))*CS[0];
Console.WriteLine(Math.Sqrt(Acchi*Acchi+h*h)+CS[0]+CS[1]);
Console.WriteLine(h*CS[1]/(double)CS[0]);
 
}
 
}