Problem 9. Points inside the House

package point.in.house;

import java.util.Scanner;

public class PointInHouse {

    public static double x1 = 12.5, y1 = 8.5;
    public static double x2 = 22.5, y2 = 8.5;
    public static double x3 = 17.5, y3 = 3.5;

    public static void main(String[] args) {
        Scanner rl = new Scanner(System.in);

        String[] points = rl.nextLine().split(" ");
        Float pointX = Float.parseFloat(points[0]);
        Float pointY = Float.parseFloat(points[1]);

        if (inMainRectangle(pointX, pointY)) {
            if (onTheDoor(pointX, pointY) || !inTriangle(pointX, pointY)) {
                System.out.println("Outside");
            } else {
                System.out.println("Inside");
            }
        } else {
            System.out.println("Outside");
        }
    }

    public static boolean inTriangle(double x, double y) {

        double ABC = Math.abs(x1 * (y2 - y3) + x2 * (y3 - y1) + x3 * (y1 - y2));
        double ABP = Math.abs(x1 * (y2 - y) + x2 * (y - y1) + x * (y1 - y2));
        double APC = Math.abs(x1 * (y - y3) + x * (y3 - y1) + x3 * (y1 - y));
        double PBC = Math.abs(x * (y2 - y3) + x2 * (y3 - y) + x3 * (y - y2));

        boolean isInTriangle = ABP + APC + PBC == ABC;

        return isInTriangle;
    }

    public static boolean inMainRectangle(double x, double y) {
        return (x >= 12.5 && x <= 22.5 && y >= 3.5 && y <= 13.5);
    }

    public static boolean onTheDoor(double x, double y) {
        return (x > 17.5 && x < 20 && y > 8.5 && y <= 13.5);
    }
}