PointsInsideTheHouse

import java.util.Scanner;

public class _09_PointsInsideTheHouse {

    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        System.out.print("Ax: ");
        double ax = sc.nextDouble();
        System.out.print("Ay: ");
        double ay = sc.nextDouble();

        if ((isInSquare(ax, ay) || isInTriangle(ax, ay) || isInRec(ax, ay)) == true) {
            System.out.print("Inside");
        } else {
            System.out.println("Outside");
        }
    }

    public static boolean isInSquare(double ax, double ay) {
        boolean result = false;

        if (ax >= 12.5 && ax <= 17.5) {
            if (ay >= 8.5 && ay <= 13.5) {
                result = true;
            }
        }
        return result;
    }

    public static boolean isInTriangle(double ax, double ay) {

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

        double a = Math.abs (x1 * (y2 - y3) + x2 * (y3 - y1) + x3 * (y1 - y2));
        double b = Math.abs (x1 * (y2 - ay) + x2 * (ay - y1) + ax * (y1 - y2));
        double c = Math.abs (x1 * (ay - y3) + ax * (y3 - y1) + x3 * (y1 - ay));
        double d = Math.abs (ax * (y2 - y3) + x2 * (y3 - ay) + x3 * (ay - y2));
        boolean isInTriangle = Math.round(a + b + c) == d;

        if (isInTriangle == true) {
            return true;
        }
        else {
            return false;
        }
    }

    public static boolean isInRec(double ax, double ay) {
        boolean result = false;

        if (ax >= 20 && ax <= 22.5) {
            if (ay >= 8.5 && ay <= 13.5) {
                result = true;
            }
        }
        return result;
    }
}