the code should be in java. please use variables for scanner input and also show me the results of the sample inputs.

Implement the following classes: Polygon numSide: int /* constructor */ /* accessor-mutator */ + area (): double + perimeter(): double Triangle sideA: double sideB: double sidec: double * constructor */ /* accessor-mutator */ + area(): double + perimeter(): double Create an object for Triangle class and invoke area and perimeter method. Input Format Take triangle sides (sideA, sideB, sideC) as input from user. Constraints For Triangle, sideB+side > sideA Heron's Formula Area of a Triangle from Sides You can calculate the area of a triangle if you know the lengths of all three sides, using a formula that has been known for nearly 2000 years. It is called "Heron's Formula" after Hero of Alexandria (see below) Just use this two step process: Step 1: Calculate "s" (half of the trangles perimeter): a+b+c S = c Step 2: Then calculate the Area: A=/s(s-a) (s - b) ( sc) Output Format Print Triangle area and perimeter as shown in sample output. Sample Input o 24 30 18 Sample Output o 216.00 72.00 Explanation 0 Here, sideA = 24.00 sideB 30.00 sideC - 18.00 Triangle Area - 216.08 Triangle Perimeter = 72.00 Sample Input 1 54 105 45 Sample Output 1 INVALID Explanation 1 The Triangle inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. Note: This rule must be satisfied for all 3 conditions of the sides