Altura mínima de un triángulo con base y área dadas

Dados dos números enteros a y b, encuentre la altura más pequeña posible tal que se pueda formar un triángulo de al menos área «a» y base «b».
 

Ejemplos: 
 

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

La altura mínima del Triángulo con base “b” y área “a” se puede evaluar conociendo la relación entre los tres.
 

La relación entre el área, la base y la 
altura es: 
área = (1/2) * base * altura
Por lo tanto, la altura se puede calcular como: 
altura = (2 * área)/ base
La altura mínima es el techo de la 
altura obtenida usando la fórmula anterior.

#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;
}

// 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.

# 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))

// 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.

<?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.
?>

<script>
 
// function to calculate minimum height of
// triangle
function minHeight( base,  area){
    return Math.ceil((2*area)/base);
}
 
 
    let base = 4, area = 8;
          
    document.write( "Minimum height is "
         +minHeight(base, area));
 
// This code contributed by aashish1995
 
</script>

Producción : 

Minimum height is 4

 Complejidad temporal: O(1)
Espacio auxiliar: O(1)