# Java Program for Triangular Matchstick Number

In the previous article, we have seen Java Program to Find the Vertex, Focus, Directrix of a Parabola

In this article we are going to see how to find the triangular matchstick number using Java programming language.

## Java Program for Triangular Matchstick Number

Before Jumping into the program directly let’s see how we can find the triangular matchstick number.

Explanation:

Let X represents the floor of a matchstick pyramid,
Formula to find triangular matchstick number = (3*x*(x+1))/2

Example:

Let x = 1

So, the number of matchstick required to form a triangular pyramid = (3*x*(x+1))/2

=> (3*1*(1+1))/2

=> (3*1*2)/2

=> 6/2 =3

Let’s see different ways to find the triangular matchstick number.

### Method-1: Java Program for Triangular Matchstick Number By Using Static Value

Approach:

• Declare an integer variable say “x”, assign the value to it, which holds the value for the floor of a matchstick pyramid.
• Find the number of matchstick required to form a triangular pyramid using the formula (3*x*(x+1))/2
• Print the result.

Program:

class Main
{
public static void main(String [] args)
{
//value of 'x' declared
int x = 1;
//finding number of matchstick required to form a triangular pyramid
//Using the formula (3*x*(x+1))/2
int no  = (3*x*(x+1))/2;
System.out.println("The number of matchstick required to form a triangular pyramid is: " + no);
}
}


Output:

The number of matchstick required to form a triangular pyramid is: 3

### Method-2: Java Program for Triangular Matchstick Number By Using User Input Value

Approach:

• Declare an integer variable say “x” and take the value of it as user input, which holds the value for the floor of a matchstick pyramid.
• Find the number of matchstick required to form a triangular pyramid using the formula (3*x*(x+1))/2
• Print the result.

Program:

import java.util.*;

class Main
{
public static void main(String [] args)
{
//Scanner class object created
Scanner sc=new Scanner(System.in);
//taking input of value of 'x'
System.out.print("Enter value of x(floor of match stick): ");
int x = sc.nextInt();
//finding number of matchstick required to form a triangular pyramid
//Using the formula (3*x*(x+1))/2
int no  = (3*x*(x+1))/2;
System.out.println("The number of matchstick required to form a triangular pyramid is: " + no);
}
}


Output:

Enter value of x(floor of match stick): 2
The number of matchstick required to form a triangular pyramid is: 9

### Method-3: Java Program for Triangular Matchstick Number By Using User Defined Method

Approach:

• Declare an integer variable say “x” and take the value of it as user input, which holds the value for the floor of a matchstick pyramid.
• Then call a method findNumber() and pass x as the parameter.
• Then inside the method, find the number of matchstick required to form a triangular pyramid using the formula (3*x*(x+1))/2
• Print the result.

Program:

import java.util.*;

class Main
{
public static void main(String [] args)
{
//Scanner class object created
Scanner sc=new Scanner(System.in);
//taking input of value of 'x'
System.out.print("Enter value of x(floor of match stick): ");
int x = sc.nextInt();
//calling findNumber() Method
findNumber(x);
}

//findNumber() user defined method
//tofind the number of matchstick required to form a triangular pyramid
public static void findNumber(int x)
{
//finding number of matchstick required to form a triangular pyramid
//Using the formula (3*x*(x+1))/2
int no  = (3*x*(x+1))/2;
System.out.println("The number of matchstick required to form a triangular pyramid is:" + no);
}
}


Output:

Enter value of x(floor of match stick): 1
The number of matchstick required to form a triangular pyramid is: 3

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