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)