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 JAVA (judge verdict: Wrong Answer)

import java.awt.Frame;
import java.awt.image.SinglePixelPackedSampleModel;
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.StringTokenizer;
import javax.sql.rowset.FilteredRowSet;
import javax.swing.BorderFactory;
import javax.xml.parsers.DocumentBuilder;
import javax.xml.stream.events.EndDocument;
import java.math.BigInteger;
import java.time.chrono.MinguoChronology;
import java.util.Scanner;

public class Main {
  static InputReader in;
  static PrintWriter out;
  
  static class Solution {
    void solve() throws IOException {
      double a = in.nextDouble();
      double b = in.nextDouble();
      double C = Math.toRadians(in.nextDouble());
      double S = a * b * Math.sin(C) / 2;
      double c = Math.sqrt(a * a + b * b - 2 * a * b * Math.cos(C));
      double h = b * Math.sin(a); 
      double L = a + b +c;
      
      out.printf("%f%n%f%n%f%n", S, L, h);
//      End solve()
    }
    
//  End solution
  } 
  

  public static void main(String[] args) throws IOException {
    in = new InputReader(System.in);
    out = new PrintWriter(System.out);
    Solution solver = new Solution();
    solver.solve();
    out.close();
}

  static class InputReader {
    public BufferedReader br;
    public StringTokenizer st;
    
    public InputReader(InputStream stream) {
      br = new BufferedReader(new InputStreamReader(stream));
    }
   
    public int nextInt() throws IOException {
      while (st == null || !st.hasMoreTokens()) {
        st = new StringTokenizer(br.readLine());
      }
      return Integer.parseInt(st.nextToken());
    }
    
    public long nextLong() throws IOException {
      while (st == null || !st.hasMoreTokens()) {
        st = new StringTokenizer(br.readLine());
      }
      return Long.parseLong(st.nextToken()); 
    }
    
    public String next() throws IOException {
      while (st == null || !st.hasMoreTokens()) {
        st = new StringTokenizer(br.readLine());
      }
      return st.nextToken();
    }
    
    public double nextDouble() throws IOException {
      while (st == null || !st.hasMoreTokens()) {
        st = new StringTokenizer(br.readLine());
      }
      return Double.parseDouble(st.nextToken());
    }
    
  }
  
}