(Geometry: area of a triangle) Write a program that prompts the user to enter three points (x1, y1), (x2, y2), (x3, y3) of a triangle and displays its area. The formula for computing the area of a triangle is

/*
(Geometry: area of a triangle) Write a program that prompts the user to enter
three points (x1, y1), (x2, y2), (x3, y3) of a triangle and displays its area.
*/
import java.util.Scanner;

public class Exercise_02_19 {
	public static void main(String[] args) {
		Scanner input = new Scanner(System.in);

		// Prompt the user to enter three points
		System.out.print("Enter three points for a triangle: ");
		double x1 = input.nextDouble();
		double y1 = input.nextDouble();
		double x2 = input.nextDouble();
		double y2 = input.nextDouble();
		double x3 = input.nextDouble();
		double y3 = input.nextDouble();

		// Compute the area of a triangle
		double side1 = Math.pow(Math.pow(x2 - x1, 2) + Math.pow(y2 - y1, 2), 0.5);
		double side2 = Math.pow(Math.pow(x3 - x2, 2) + Math.pow(y3 - y2, 2), 0.5);
		double side3 = Math.pow(Math.pow(x1 - x3, 2) + Math.pow(y1 - y3, 2), 0.5);
		double s = (side1 + side2 + side3) / 2;
		double area = Math.pow(s * (s - side1) * (s - side2) * (s - side3), 0.5);

		// Display result
		System.out.println("The area of the triangle is " + area);
	}
}