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Part A. Write out the Triangle class from: Triangle side1: double side2: double - side3: double + Triangle () Triangle (s: double) + Triangle (s1: double, s2: double, s3: double) + setSides(s1: double, s2: double, s3: double) + getSides(): double ) + toString(): String + area(): double + equals(t : Triangle): boolean Make Triangle implement the comparable interface. These objects should be ordered based on area. Write a sorting method for an array of these objects. (Use selection or insertion sort only). Part B. Make an interface that is called Scalable. It should have two functions: the ability to enlarge or shrink an object. Make Triangle Scalable. Using Point class from lab 4, make Points Scalable as well. (You may ignore the z values if you want) For both classes, provide an explanation for your enlarge and shrink methods implementation. Part C. Create an array of random Triangles and Points. There should be a random mixture of all the objects) o Random points should be generated using random integers values from the interval (-50,50] for both x and y values. (You may just keep z values as default O values.) o Random Triangles should be created by generating two random integers in the interval [1,100], say x and y. From these values for the sides are computed as: . x2 - y2 - 2xy x2 + y2 Write a method to go through the array and : enlarge a Point if it's within distance of 20 from the origin, otherwise shrink the Point. enlarge a Triangle if its area is less than the average area of all the Triangles in the array and shrink it otherwise. Point - - - x: int y:int z: int + Point ( l/should create the origin (0,0) + Point (x: int, y:int) // should create (x,y,0) + Point (x : int, y:int, z: int) //should create (x,y,z) + distance (Point p): double // should return the distance between the 2 points + distance From Origin (): double //should return the distance from (0,0) + toString(): String //should return the point in the form "(x,y,z)" + equals (Point p): boolean 1/2 points are equal if x,y,z values are all equal + translate (x: int, y:int) : Point + translate (x: int, y:int, z: int) : Point (Hint: remember to add the get and set methods) Distance between two points is: (x1 - x2)2 + (y1 - y2)+ (21 - 22) Translating a point is: creating a new point where the x value is the x of the original point plus the parameter, similarly for y and z. Ex. P = (3, -6) and we want to use translate (1, 2) then we should get P2 =(4,-4) The contents of the file should include: o Triangle modified appropriately o Point modified appropriately o Scalable interface o Your test class including: . Main method that calls the other methods . Your sorting method Your method for creating the random array Your method for enlarging/shrinking objects