# 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

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

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 ` `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 `

Output:

```Area of Quadrilateral = 21
```

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