Programming Exercise 11.1 defined the Triangle class with three sides. In a triangle, the sum of any

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Programming Exercise 11.1 defined the Triangle class with three sides. In a triangle, the sum of any two sides is greater than the other side. The Triangle class must adhere to this rule. Create the IllegalTriangleException class, and modify the constructor of the Triangle class to throw an IllegalTriangleException object if a triangle is created with sides that violate the rule, as follows:
/** Construct a triangle with the specified sides */
public Triangle(double side1, double side2, double side3)
throws IllegalTriangleException {
// Implement it
}


Design a class named Triangle that extends GeometricObject. The class contains:

■ Three double data fields named side1, side2, and side3 with default values 1.0 to denote three sides of the triangle.

■ A no-arg constructor that creates a default triangle.

■ A constructor that creates a triangle with the specified side1, side2, and side3.

■ The accessor methods for all three data fields.

■ A method named getArea() that returns the area of this triangle.

■ A method named getPerimeter() that returns the perimeter of this triangle.

■ A method named toString() that returns a string description for the triangle. For the formula to compute the area of a triangle, see Exercise. The toString() method is implemented as follows:

return "Triangle: side1 = " + side1 + " side2 = " + side2 +" side3 = " + side3;

Draw the UML diagrams for the classes Triangle and GeometricObject and implement the classes. Write a test program that prompts the user to enter three sides of the triangle, a color, and a Boolean value to indicate whether the triangle is filled. The program should create a Triangle object with these sides and set the color and filled properties using the input. The program should display the area, perimeter, color, and true or false to indicate whether it is filled or not.

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

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