Design a C$++$ program that involves creating a class named 'Triangle.$\text{'}$ This class should encapsulate private attributes such as side$1,$ side$2,$ side$3,$ height, perimeter, and area. Allocate one object using dynamic memory allocation within this class and calculate its area and perimeter. $($At least you need to create six member functions including $4$ mutators$).$ add a comment $,$make sure to only use #include and using namespace std;$.$ dont add other #include or short cut codes as std:

This project should contain four files:

$1)$ header file

$2)$ a $.$cpp file to store the member functions$$ definition of this class

$3)$ main.cpp

$4)$README$.$txt$$ to introduce and explain your project.