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Find the area of quadrilateral when diagonal and the perpendiculars to it from opposite vertices are given
  • Last Updated : 22 Mar, 2021

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++




// C++ program to find the area of quadrilateral
#include <bits/stdc++.h>
using namespace std;
 
// Function to find 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;
}

Java




// 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

Python3




# 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

C#




// 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

Javascript




<script>
 
// JavaScript program to find the area of quadrilateral
 
// Function to find the area of quadrilateral
function Area(d, h1, h2)
{
    let area;
 
    area = 0.5 * d * (h1 + h2);
 
    return area;
}
 
// Driver code
 
    let d = 6, h1 = 4, h2 = 3;
 
    document.write("Area of Quadrilateral = " + (Area(d, h1, h2)));
 
 
// This code is contributed by Surbhi Tyagi.
 
</script>
Output: 
Area of Quadrilateral = 21

 

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