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

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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)

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