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 = 15Â
Output: 72.0
Input: A = 39, B = 42, C = 45Â
Output: 1008.0
Approach:Â
The area of the triangle can be calculated from the given length of medians using the following equation:
ÂwhereÂ
Â
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; Â
// Function to return the area of // triangle using medians double Area_of_Triangle(int a, int b, int c) { Â Â Â Â int s = (a + b + c) / 2; Â Â Â Â int x = s * (s - a); Â Â Â Â x = x * (s - b); Â Â Â Â x = x * (s - c); Â Â Â Â double area = (4 / (double)3) * sqrt(x); Â
    return area; } Â
// 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; }Â
// This code is contributed by code_hunt |
Java
// Java program to calculate // area of a triangle from the// given lengths of mediansclass GFG{Â
// Function to return the area of // triangle using medians static double Area_of_Triangle(int a, Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â int b, int c) { Â Â Â Â int s = (a + b + c)/2;Â Â Â Â int x = s * (s - a);Â Â Â Â x = x * (s - b);Â Â Â Â x = x * (s - c);Â Â Â Â double area = (4 / (double)3) * Math.sqrt(x);Â
    return area;}Â
// 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);}}Â
// This code is contributed by sapnasingh4991 |
Python3
# Python3 program to calculate # area of a triangle from the# given lengths of mediansimport math Â
# Function to return the area of # triangle using medians def Area_of_Triangle(a, b, c): Â
    s = (a + b + c)//2    x = s * (s - a)    x = x * (s - b)    x = x * (s - c)    area = (4 / 3) * math.sqrt(x)Â
    return areaÂ
# Driver Code a = 9b = 12c = 15Â
# Function Call ans = Area_of_Triangle(a, b, c) Â
# Print the final answer print(round(ans, 2)) |
C#
// C# program to calculate // area of a triangle from the// given lengths of mediansusing System;Â
class GFG{Â
// Function to return the area of // triangle using medians static double Area_of_Triangle(int a, Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â int b, int c) { Â Â Â Â int s = (a + b + c) / 2;Â Â Â Â int x = s * (s - a);Â Â Â Â Â Â Â Â Â x = x * (s - b);Â Â Â Â x = x * (s - c);Â Â Â Â Â Â Â Â Â double area = (4 / (double)3) * Math.Sqrt(x);Â
    return area;}Â
// 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);}}Â
// This code is contributed by sapnasingh4991 |
Javascript
<script>// javascript program to calculate // area of a triangle from the// given lengths of mediansÂ
    // 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);Â
        return area;    }Â
    // Driver Code         var a = 9;    var b = 12;    var c = 15;Â
    // Function Call    var ans = Area_of_Triangle(a, b, c);Â
    // Print the final answer    document.write(ans.toFixed(1));Â
// This code is contributed by Rajput-Ji </script> |
Output:Â
72.0
Time Complexity: O(log x)Â
Auxiliary Space: O(1)
Â
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