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 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 program to calculate // area of a triangle from the // given lengths of medians 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
System.out.println(ans);
} } // This code is contributed by sapnasingh4991 |
# Python3 program to calculate # area of a triangle from the # given lengths of medians import 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 = 9
b = 12
c = 15
# Function Call ans = Area_of_Triangle(a, b, c)
# Print the final answer print ( round (ans, 2 ))
|
// C# program to calculate // area of a triangle from the // given lengths of medians using 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 |
<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)