Define the Triangle2D class that contains: ■ Three points named p1, p2, and p3 of the type MyPoint with getter and setter methods. ■ A no-arg constructor that creates a default triangle with the points (0, 0), (1, 1), and (2, 5). ■ A constructor that creates a triangle with the specified points. ■ A method getArea() that returns the area of the triangle. ■ A method getPerimeter() that returns the perimeter of the triangle. ■ A method contains(MyPoint p) that returns true if the specified point p is inside this triangle (see Figure a). ■ A method contains(Triangle2D t) that returns true if the specified triangle is inside this triangle (see Figure b). ■ A method overlaps(Triangle2D t) that returns true if the specified triangle overlaps with this triangle (see Figure c). FIGURE (a) A point is inside the triangle. (b) A triangle is inside another triangle. (c) A triangle overlaps another triangle. Draw the UML diagram for the class and then implement the class. Write a test program that creates a Triangle2D objects t1 using the constructor new Triangle2D(new MyPoint(2.5, 2), new MyPoint(4.2, 3), new MyPoint(5, 3.5)), displays its area and perimeter, and displays the result of t1.contains(3, 3), r1.contains(new Triangle2D(new MyPoint(2.9, 2), new MyPoint(4, 1), MyPoint(1, 3.4))), and t1.overlaps(new Triangle2D(new MyPoint(2, 5.5), new MyPoint(4, -3), MyPoint(2, 6.5))).

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import javaawtgeomLine2D public class Triangle2D private MyPoint p1 private MyPoint p2 private MyPoint p3 public Triangle2Ddouble x1 double y1 double x2 double y2 double x3 double y3 thisp1 new MyPoin... View the full answer