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 JavaScript (judge verdict: Accepted)

function main(input){
    let args = input.split(" ").map(x=>parseInt(x));
    let a = args[0];
    let b = args[1];
    let angle = (args[2]/180)*Math.PI;



    let S = a*b*Math.sin(angle)*(1/2);
    console.log(S);
    let L = Math.sqrt(a*a+b*b-2*a*b*Math.cos(angle))+a+b;
    console.log(L);
    let H = b*Math.sin(angle);
    console.log(H);
    
}


main(require("fs").readFileSync("/dev/stdin","utf-8"));