Given three integers A,B and C which denotes length of the three medians of a triangle, the task is to calculate the area of the triangle.
A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side.
Examples:
Input: A = 9, B = 12, C = 15
Output: 72.0
Input: A = 39, B = 42, C = 45
Output: 1008.0
Approach:
The area of the triangle can be calculated from the given length of medians using the following equation:
where
Below is the implementation of the above approach:
C++14
// C++14 program to calculate // area of a triangle from the // given lengths of medians #include <bits/stdc++.h> using namespace std; // Function to return the area of // triangle using medians double Area_of_Triangle(int a, int b, int c) { int s = (a + b + c) / 2; int x = s * (s - a); x = x * (s - b); x = x * (s - c); double area = (4 / (double)3) * sqrt(x); return area; } // Driver Code int main() { int a = 9; int b = 12; int c = 15; // Function call double ans = Area_of_Triangle(a, b, c); // Print the final answer cout << ans; }// This code is contributed by code_hunt |
Java
// Java program to calculate // area of a triangle from the// given lengths of mediansclass GFG{// Function to return the area of // triangle using medians static double Area_of_Triangle(int a, int b, int c) { int s = (a + b + c)/2; int x = s * (s - a); x = x * (s - b); x = x * (s - c); double area = (4 / (double)3) * Math.sqrt(x); return area;}// Driver Code public static void main(String[] args){ int a = 9; int b = 12; int c = 15; // Function Call double ans = Area_of_Triangle(a, b, c); // Print the final answer System.out.println(ans);}}// This code is contributed by sapnasingh4991 |
Python3
# Python3 program to calculate # area of a triangle from the# given lengths of mediansimport math # Function to return the area of # triangle using medians def Area_of_Triangle(a, b, c): s = (a + b + c)//2 x = s * (s - a) x = x * (s - b) x = x * (s - c) area = (4 / 3) * math.sqrt(x) return area# Driver Code a = 9b = 12c = 15# Function Call ans = Area_of_Triangle(a, b, c) # Print the final answer print(round(ans, 2)) |
C#
// C# program to calculate // area of a triangle from the// given lengths of mediansusing System;class GFG{// Function to return the area of // triangle using medians static double Area_of_Triangle(int a, int b, int c) { int s = (a + b + c) / 2; int x = s * (s - a); x = x * (s - b); x = x * (s - c); double area = (4 / (double)3) * Math.Sqrt(x); return area;}// Driver Code public static void Main(String[] args){ int a = 9; int b = 12; int c = 15; // Function call double ans = Area_of_Triangle(a, b, c); // Print the final answer Console.WriteLine(ans);}}// This code is contributed by sapnasingh4991 |
Javascript
<script>// javascript program to calculate // area of a triangle from the// given lengths of medians // Function to return the area of // triangle using medians function Area_of_Triangle(a , b , c) { var s = (a + b + c) / 2; var x = s * (s - a); x = x * (s - b); x = x * (s - c); var area = (4 / 3) * Math.sqrt(x); return area; } // Driver Code var a = 9; var b = 12; var c = 15; // Function Call var ans = Area_of_Triangle(a, b, c); // Print the final answer document.write(ans.toFixed(1));// This code is contributed by Rajput-Ji </script> |
Output:
72.0
Time Complexity: O(log x)
Auxiliary Space: O(1)
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