Minimum height of a triangle with given base and area

Given two integers a and b, find the smallest possible height such that a triangle of atleast area “a” and base “b” can be formed.

Examples :

Input : a = 2, b = 2
Output : Minimum height of triangle is 2

Explanation: 


Input : a = 8, b = 4
Output : Minimum height of triangle is 4

Minimum height of Triangle with base “b” and area “a” can be evaluated by having the knowledge of the relationship between the three.

The relation between area, base and
height is:
area = (1/2) * base * height

So height can be calculated as :
height = (2 * area)/ base

Minimum height is the ceil of the
height obtained using above formula.

C++

filter_none

edit
close

play_arrow

link
brightness_4
code

#include <bits/stdc++.h>
using namespace std;
  
// function to calculate minimum height of 
// triangle
int minHeight(int base, int area){
    return ceil((float)(2*area)/base);
}
  
int main() {
    int base = 4, area = 8;
    cout << "Minimum height is " 
         << minHeight(base, area) << endl;
    return 0;
}

chevron_right


Java

filter_none

edit
close

play_arrow

link
brightness_4
code

// Java code Minimum height of a 
// triangle with given base and area
  
class GFG {
      
    // function to calculate minimum height of 
    // triangle
    static double minHeight(double base, double area)
    {
        double d = (2 * area) / base;
        return Math.ceil(d);
    }
      
    // Driver code
    public static void main (String[] args) 
    {
        double base = 4, area = 8;
        System.out.println("Minimum height is "+
                            minHeight(base, area));
    }
}
// This code is contributed by Anant Agarwal.

chevron_right


Python

filter_none

edit
close

play_arrow

link
brightness_4
code

# Python Program to find minimum height of triangle
import math
  
def minHeight(area,base):
        return math.ceil((2*area)/base)
  
# Driver code
area = 8
base = 4
height = minHeight(area, base)
print("Minimum height is %d" % (height))

chevron_right


C#

filter_none

edit
close

play_arrow

link
brightness_4
code

// C# program to find minimum height of
// a triangle with given base and area
using System;
  
public class GFG {
  
    // function to calculate minimum
    // height of triangle
    static int minHeight(int b_ase, int area)
    {
        return (int)Math.Round((float)(2 * area) / b_ase);
    }
      
    // Driver function
    static public void Main()
    {
        int b_ase = 4, area = 8;
        Console.WriteLine("Minimum height is "
                        + minHeight(b_ase, area));
    }
}
  
// This code is contributed by vt_m.

chevron_right


PHP

filter_none

edit
close

play_arrow

link
brightness_4
code

<?php
  
// function to calculate minimum  
// height of triangle
function minHeight($base, $area)
{
    return ceil((2 * $area) / $base);
}
  
// Driver Code
$base = 4;$area = 8;
echo "Minimum height is "
      minHeight($base, $area);
        
// This code is contributed by anuj_67.
?>

chevron_right



Output :

Minimum height is 4


My Personal Notes arrow_drop_up

Check out this Author's contributed articles.

If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below.




Article Tags :
Practice Tags :


Be the First to upvote.


Please write to us at contribute@geeksforgeeks.org to report any issue with the above content.