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.math.{cos, sin, sqrt, pow, Pi}

object Main extends App{
  val sc = new java.util.Scanner(System.in)
  val a, b, C = sc.nextDouble
  val t = C * Pi / 180
  val S = a * b * sin(t) / 2
  val c = sqrt(pow(a, 2) + pow(b, 2) - 2 * a * b * cos(t))
  val L = a + b + c
  val h = b * sin(t)
  println(S)
  println(L)
  println(h)
}