C# program to find Area of Isoceles Triangle

Program

using System;
namespace AreaOfIsocelesTriangle
{
    class Program
    {
        static void Main(string[] args)
        {
            Console.Write("Enter the Length of Same Side:\t");
            float a = float.Parse(Console.ReadLine());
            Console.Write("Enter the Length of other Side:\t");
            float b = float.Parse(Console.ReadLine());
            //float root = (float)Math.Sqrt(3) / 4;
            float area= (float)((b/4)*Math.Sqrt((4*a*a)-(b*b)));
            Console.WriteLine("Area of Isosceles Triangle is:\t" + area);
        }
    }
}

This C# program calculates the area of an isosceles triangle, where two sides are of equal length, based on the user-provided values.

1. Namespace and Class Definition

• The program is inside the AreaOfIsocelesTriangle namespace.
• The Program class contains the Main() method where the logic is implemented.

2. Taking User Input

• The user is prompted to enter the length of the equal sides (a).
• The user is also prompted to enter the base (b).
• The inputs are read as strings and converted into float values using float.Parse().

3. Calculating the Area

• The formula for the area of an isosceles triangle is: [ \text{Area} = \frac{b}{4} \times \sqrt{(4a^2 - b^2)} ]
• This formula is derived using Heron’s formula for a triangle where two sides are equal.
• Math.Sqrt() is used to calculate the square root.
• The formula is applied to compute the area.

4. Displaying the Result

• The calculated area is printed using Console.WriteLine().

Key Points:

• Uses Math.Sqrt() for precise square root calculations.
• Accepts dynamic input from the user.
• Correct formula implementation for an isosceles triangle.
• Uses float to handle decimal values for accurate calculations.

Output

Enter the Length of Same Side:  13
Enter the Length of other Side: 16
Area of Isosceles Triangle is:  81.97561