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C# Program to Find Area, Perimeter, and Side of a Rhombus

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C# Program to Find Area, Perimeter, and Side of a Rhombus

C# Program to Find Area, Perimeter, and Side of a Rhombus

Introduction

A rhombus is a fascinating quadrilateral with equal-length sides, often described as a "diamond" shape. It has unique geometric properties that make it a significant figure in both mathematics and real-world applications. The diagonals of a rhombus intersect at right angles and bisect each other, forming the basis for many of its formulas.

In this article, we will write a C# program to calculate the area, perimeter, and side of a rhombus using user-provided input for the lengths of its diagonals.

Formula

  • Area: The area of a rhombus is calculated using the formula: Area = (Diagonal1 × Diagonal2) / 2. Here, Diagonal1 and Diagonal2 are the lengths of the diagonals.
  • Perimeter: The perimeter is the total length of all four sides: Perimeter = 4 × Side.
  • Side: Using the Pythagorean theorem: Side = √((Diagonal1/2)² + (Diagonal2/2)²).

Code

using System;

class Rhombus
{
    static void Main()
    {
        // Input the lengths of the diagonals
        Console.Write("Enter the length of Diagonal 1: ");
        double diagonal1 = Convert.ToDouble(Console.ReadLine());

        Console.Write("Enter the length of Diagonal 2: ");
        double diagonal2 = Convert.ToDouble(Console.ReadLine());

        // Calculate the area
        double area = (diagonal1 * diagonal2) / 2;

        // Calculate the side length
        double side = Math.Sqrt(Math.Pow(diagonal1 / 2, 2) + Math.Pow(diagonal2 / 2, 2));

        // Calculate the perimeter
        double perimeter = 4 * side;

        // Output the results
        Console.WriteLine("Area of the Rhombus: " + area);
        Console.WriteLine("Side of the Rhombus: " + side);
        Console.WriteLine("Perimeter of the Rhombus: " + perimeter);
    }
}

Output

For example, if the lengths of the diagonals are Diagonal1 = 12 and Diagonal2 = 10, the program will calculate and display the following results: 

Enter the length of Diagonal 1: 12
Enter the length of Diagonal 2: 10
Area of the Rhombus: 60
Side of the Rhombus: 7.810249675906654
Perimeter of the Rhombus: 31.240998703626617

Explanation

The program begins by prompting the user to input the lengths of the diagonals. Using the provided formulas:

  • The area is calculated by multiplying the diagonals and dividing the result by 2.
  • The side is determined using the Pythagorean theorem. Each diagonal is halved to form two right triangles within the rhombus, and the hypotenuse of one triangle gives the side length.
  • The perimeter is computed by multiplying the side length by 4.

The results are displayed on the console in a user-friendly format.

Conclusion

This C# program provides a straightforward way to compute the geometric properties of a rhombus based on its diagonals. By combining mathematical principles with efficient C# code, users can quickly and accurately find the area, perimeter, and side of a rhombus.

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