Write a Java program that reads the lengths of the three sides of a triangle from the

user and calculates the area of the triangle using Heron's formula.

Heron's formula calculates the area $($A$)$ of a triangle given the lengths of its three sides

$(a,b,c$ using the following formula:

$A=\sqrt[\phantom{2}]{s*(s-a)*(s-b)*(s-c)}$

where $ss$ is the semi$-$perimeter of the triangle, calculated as:

The program should:

Prompt the user to enter the lengths of the three sides of the triangle.

Read the lengths from the console using the Scanner class.

Compute the semi$-$perimeter $(s)$ of the triangle.

Compute the area of the triangle using Heron's formula.

Output the calculated area of the triangle and round of the results to two

decimal places.

Write Java code to implement the above requirements. Ensure that the program

follows the given instructions precisely and computes the area correctly using

Heron's formula.

Once you've completed the implementation, test your program with different sets

of side lengths to verify its correctness.

OUTPUT:

Enter the lengths of the three sides of the triangle:

Side a: $3$

Side b: $4$

Side c: $5$

Area of the triangle: $6\mathrm{.}0$