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++

// 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

Time Complexity: O(1)
Auxiliary Space: O(1)