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

Recommended: Please try your approach on {IDE} first, before moving on to the solution.

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++

 #include 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

 // 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

 # 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#

 // 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



Output :

Minimum height is 4