Maximum height when coins are arranged in a triangle

public class MaxHghtToArrangeTri {

    

     /**

      *         *           ß 1 coin

      *   *         *       ß 2 coin

      * *      *          * ß 3 coin

      *

      * Coins need for Height H = 1 + 2 + 3 + ........ + H-1

      *                                 = H(H-1)/2

      * @param coins

      * @return

      */

     private static int getMaxHeight(int coins) {

          

           int d = (int)Math.pow((8*coins + 1),.5);

          

           int height = (d + 1)/2;

          

           return height-1;

     }

    

     /**

      * @param args

      */

     public static void main(String[] args) {

           int coins = 7;

           int maxHeight = getMaxHeight(coins);

          

           System.out.println(maxHeight);

     }

}