Files to Create:

triangle.h $-$ Header file for the RightTriangle class.triangle.cpp $-$ Implementation file for the class methods.main.cpp $-$ Main program file that uses the RightTriangle class.

Class Requirements:

Constructor: Should take the base and the height as arguments. Throw an std::invalid$\_$argument if negative values are passed.Area Method: Calculate the area using the formula Area$=12$base$$height $.$Perimeter Method: Calculate the perimeter using the Pythagorean theorem to find the hypotenuse: Perimeter$=$base$+$height$+$base$2+$height$2.$Display Method: Output the base, height, area, and perimeter to the console.

Functionality: The program should prompt the user to enter the base and height of the triangle, create a RightTriangle object, display the triangle's details, and handle any potential exceptions.