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 Kotlin (judge verdict: Accepted)

fun square(n: Int): Double = Math.pow(n.toDouble(), 2.0)

fun main(args: Array<String>) {
    val (a, b, C) = readLine()!!.split(" ").map(String::toInt)
    val radC = Math.toRadians(C.toDouble())
    val sinC = Math.sin(radC)
    val cosC = Math.cos(radC)

    val S = a * b * sinC / 2
    val L = a + b + Math.sqrt(square(a) + square(b) - 2 * a * b * cosC)
    val h = b * sinC
    println(S)
    println(L)
    println(h)
}