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;using System.Linq;class P{static void Main(){var a=Console.ReadLine().Split().Select(int.Parse).ToList();double r=a[2]*Math.PI/180,s=Math.Sin(r);Console.WriteLine($"{a[0]*a[1]*s/2}\n{Math.Sqrt(a[0]*a[0]+a[1]*a[1]-2*a[0]*a[1]*Math.Cos(r))+a[0]+a[1]}\n{s*a[1]}");}}