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 math._
object Main extends App {
    val Array(a, b, c) = io.StdIn.readLine.split(" ").map(_.toInt)
    val s = a * b * sin(Pi * c / 180) / 2
    println(s)
    println(a + b + sqrt(a * a + b * b - 2 * a * b * cos(Pi * c / 180)))
    println(2 * s / a)
}