Find the area of quadrilateral when diagonal and the perpendiculars to it from opposite vertices are given

Given three integers d, h1, h2 where d represents the length of the diagonal of a quadrilateral. h1 and h2 represents the lengths of the perpendiculars to the given diagonal from the opposite vertices. The task is to find the area of the Quadrilateral.

Examples:

Input : d= 6, h1 = 4, h2 = 3
Output : 21

Input : d= 10, h1 = 8, h2 = 10
Output : 90

Approach :
Area of the quadrilateral is the sum of the areas of both triangles. We know that the area of the triangle is 1/2*base*height.

Therefore, the area of a quadrilateral can be calculated as :

Area = 1/2 * d * h1 + 1/2 * d * h2
= 1/2 * d * ( h1 + h2 )

Below is the implementation of the above approach :

C++

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// C++ program to find the the area of quadrilateral
#include <bits/stdc++.h>
using namespace std;
  
// Function to find the the area of quadrilateral
float Area(int d, int h1, int h2)
{
    float area;
  
    area = 0.5 * d * (h1 + h2);
  
    return area;
}
  
// Driver code
int main()
{
    int d = 6, h1 = 4, h2 = 3;
  
    cout << "Area of Quadrilateral = " << (Area(d, h1, h2));
  
    return 0;
}

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Java

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// Java program to find the area of quadrilateral
class GFG 
{
  
    // Function to find the area of quadrilateral
    static float Area(int d, int h1, int h2) 
    {
        float area;
  
        area = (float) 0.5 * d * (h1 + h2);
  
        return area;
    }
  
    // Driver code
    public static void main(String[] args) 
    {
        int d = 6, h1 = 4, h2 = 3;
  
        System.out.println("Area of Quadrilateral = "
                                      Area(d, h1, h2));
    }
}
  
// This code is contributed by Princi Singh

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Python3

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# Python3 program to find
# the area of quadrilateral
  
# Function to find the 
# area of quadrilateral
def Area(d, h1, h2):
  
    area = 0.5 * d * (h1 + h2);
  
    return area;
  
# Driver code
if __name__ == '__main__':
      
    d = 6
    h1 = 4
    h2 = 3;
  
    print("Area of Quadrilateral = "
                  (Area(d, h1, h2)));
  
# This code is contributed by Rajput-Ji

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C#

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// C# program to find the area of quadrilateral
using System;
  
class GFG 
{
      
// Function to find the area of quadrilateral
static float Area(int d, int h1, int h2)
{
    float area;
  
    area = (float)0.5 * d * (h1 + h2);
  
    return area;
}
  
  
// Driver code
public static void Main()
{
    int d = 6, h1 = 4, h2 = 3;
      
    Console.WriteLine("Area of Quadrilateral = "
                                 Area(d, h1, h2)); 
}
}
  
// This code is contributed by nidhiva

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Output:

Area of Quadrilateral = 21


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