$15\mathrm{.}1($The Triangle class$)$

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

Three double data fields named side$1,$ side$2,$ and side$3$ to denote three sides of the triangle.

Constructors:

A no$-$arg constructor that creates a default triangle with each side $1\mathrm{.}0.$

A constructor that creates a rectangle with the specified side$1,$ side$2,$ and side$3.$

The constant accessor and mutator functions for all three data fields.

A constant function named getArea$()$ that returns the area of this triangle.

A constant function named getPerimeter$()$ that returns the perimeter of this triangle.

A constant function named printTriangle$()$ that returns a string that displays the area, perimeter color, and truetialse to indicate whether filled or not.

Submit the following:

Draw the UML diagram that involves the classes Triangle and GeometricObject. $(2$ points$)$

Implement the class. $(6$ points$)$

Write a test program that prompts the user to enter three sides of the triangle, enter a color, and enter $1$ or $0$ 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 filled or not. $(2$ points$)$