Given the three sides of a triangle side$1,$ side $2$ and side$3,$ write a Java program that first determines whether these values represent a valid triangle. This can be determined as follows:

side $1+$ side $2>$ side $3$ AND

side $2+$ side $3>$ side $1$ AND

side $3+$ side $1>$ side $2$

If the three sides represent a valid triangle, the program should then compute the perimeter and area of the triangle using the formulas given below:

Perimeter $=$ side $1+$ side $2+$ side $3$

Area $=\sqrt[\phantom{2}]{s**(s-\text{s}\text{i}\text{d}\text{e}1)**(s-\text{s}\text{i}\text{d}\text{e}2)**(s-\text{s}\text{i}\text{d}\text{e}3)}$ where,

$s=\frac{\text{s}\text{i}\text{d}\text{e}1+\text{s}\text{i}\text{d}\text{e}2+\text{s}\text{i}\text{d}\text{e}3}{2\mathrm{.}0}$

Programming requirements

You must read the values of the three sides from the input.

You must print all the three sides, perimeter and area, with appropriate captions.

Hint: To compute the square root, use the mathematical function Math.sqrt $($x$)$; for example, area $=$ Math.sqrt side$1$