Pick a random point within a triangle

randomPointInTriangle.js

/**
* Pick a random point within a triangle 

* @param {Object} a Point {x:# , y:#} 
* @param {Object} b Point {x:# , y:#}
* @param {Object} c Point {x:# , y:#}
* @returns Object {x:# , y:#}
*
* @see http://parametricplayground.blogspot.co.uk/2011/02/random-points-distributed-inside.html
*/
randomPointInTriangle: function (a, b, c) {

    var rc = 0, 
    px, 
    py, 
    ra = Math.random(), 
    rb = Math.random();

    if (ra + rb > 1){
        ra = 1 - ra;
        rb = 1 - rb;
    }
    rc = 1 - ra - rb;

    px = (ra * a.x) + (rb * b.x) + (rc * c.x);
    py = (ra * b.y) + (rb * b.y) + (rc * c.y);

    return {x: px, y: py};
}