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 Scala (judge verdict: Accepted)

import scala.io.StdIn.readLine

object Main extends App {
  val Array(a,b,c) = readLine.split(" ").map(_.toDouble)
  val h = b * Math.sin(c*Math.PI/180)

  println(a*h/2)
  println( a + b + Math.sqrt(a*a+b*b-2*a*b*Math.cos(c*Math.PI/180)) )
  println(h)

}