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How To Find Minimum Height of the Triangle with Given Base and Area in Java?
We have the area of triangle ‘a’ and base ‘b’. As per problem statement we have to find the minimum height ‘h’ by using Java programming language.
As we know area of triangle, when base and height are given −
$$\mathrm{area \:=\: \frac{1}{2}\: * \:base\: *\: height}$$
By using above formula, we can get height from it −
height = (2 * area) / base
Then by using the inbuilt ceil() method we can get the minimum height.
To show you some instances
Instance-1
Suppose, given area = 12 and base = 6
Then by using the formula to get height,
Minimum height = 4.0
Instance-2
Suppose, given area = 8 and base = 4
Then by using the formula to get height,
Minimum height = 4.0
Instance-3
Suppose, given area = 12 and base = 5
Then by using the formula to get height,
Minimum height = 5.0
Syntax
In java, we have Math.ceil() method which is used to get the rounded value to the nearest mathematical integer(means smallest integer) which is greater than or equal to the given floating point number.
Below is the syntax for that.
Math.ceil(double value);
Algorithm
Step 1 − Get the area and base value of the triangle either by initialization or by user input.
Step 2 − Calculate the height by using the formula.
Step 3 − Then find the minimum height by using Math.ceil() method.
Step 4 − Print the result.
Multiple Approaches
We have provided the solution in different approaches.
By Using Static Input Value
By Using User Defined Method
Let’s see the program along with its output one by one.
Approach-1: By Using User Static Value
In this approach the base and area value of the triangle will be declared in the program then by using the algorithm find the minimum height of the triangle.
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
Approach-2: By Using User Defined Method
In this approach the base and area value 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 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 the triangle when base and area are given in Java by using different approaches.
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