How to find the minimum height of a triangle given base and area in Java?

We have the area 'a' and the base 'b' of the triangle. As per the problem statement, we need to find the minimum height 'h' using Java programming language.

As we know, when the base and height are given, the area of ​​a triangle is −

$$\mathrm{Area \:=\: \frac{1}{2}\: * \:Base\: *\: Height}$$

By using the above formula, we can get the height from it -

height = (2 * area) / base

Then by using the built-in ceil() method, we can get the minimum height.

Show you some examples

Instance-1

Instance-1

Assume given area = 12 and base = 6

Then use the formula to calculate the height:

Minimum height = 4.0

Example-2

Assume, given area = 8 and base = 4

Then use the formula to calculate the height:

Minimum height = 4.0

Instance-3

Instance-3

Assume given area = 12 and base = 5

Then use the formula to calculate the height:

Minimum height = 5.0

grammar

In Java, we have the Math.ceil() method, which is used to get the mathematical integer closest to a given floating point number (i.e. the smallest integer), which is greater than or equal to the given floating point number. Points.

The following is the code for this syntax.

Math.ceil(double value);

algorithm

• Step 1 − Obtain the area and base values ​​of the triangle through initialization or user input.

• Step 2 - Use the formula to calculate the height.

• Step 3 - Then use the Math.ceil() method to find the minimum height.

• Step 4 − Print the results.

Multiple methods

We provide solutions in different ways.

• By using static input values

• By using user-defined methods

Let's look at the program and its output one by one.

Method 1: By using user static values

In this method, the base and area values ​​of the triangle will be declared in the program, and then the minimum height of the triangle is found by using an algorithm.

Example

import java.util.*;
import java.io.*;
public class Main {
   //main method
   public static void main(String args[]){
   
      //Declared the area of triangle
      double area = 6;
      System.out.println("Area of triangle: "+area);
      
      //Declared the base of triangle
      double base = 14;
      System.out.println("Base of triangle: "+base);
      
      //Find height of triangle
      double height = (2 * area) / base;
      System.out.println("Height: " + height);
      
      //Find minimum height of triangle by using ceil() method
      double minHeight = Math.ceil(height);
      System.out.println("Minimum height: " + minHeight);
   }
}

Output

Area of triangle: 6.0
Base of triangle: 14.0
Height: 0.8571428571428571
Minimum height: 1.0

Method 2: By using user-defined methods

In this method, the base and area values ​​of the triangle will be declared in the program. Then call a user-defined method by passing this base and area as parameters.

Inside the method, find the minimum height of the triangle by using the formula.

Example

import java.util.*;
import java.io.*;
public class Main{
   //main method
   public static void main(String args[]){
   
      //Declared the area of triangle
      double area = 12;
      System.out.println("Area of triangle: "+area);
      
      //Declared the base of triangle
      double base = 6;
      System.out.println("Base of triangle: "+base);
      
      //calling a user defined method
      findHeight(area,base);
   }
   //user defined method
   public static void findHeight(double area, double base){
   
      //Find height of triangle
      double height = (2 * area) / base;
      System.out.println("Height: " + height);
      
      //Find minimum height of triangle by using ceil() method
      double minHeight = Math.ceil(height);
      System.out.println("Minimum height: " + minHeight);
   }
}

Output

Area of triangle: 12.0
Base of triangle: 6.0
Height: 4.0
Minimum height: 4.0

In this article, we explored how to calculate the minimum height of a triangle given a base and area in Java using different methods.

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