The C++ program that would complete the main () and set the base and height of triangle1 and of triangle2 is:
main.cpp
#include <iostream>
#include "Triangle.h"
using namespace std;
int main()
{
    Triangle Tri1;  
 Triangle Tri2;
    double base1, height1, base2, height2;
    cout << "Enter a base for your Triangle1: ";
    cin >> base1;
    cout << "Enter a height for your Triangle1: ";
    cin >> height1;
    cout << endl;
    cout << "Enter a base for your Triangle2: ";
    cin >> base2;
    cout << "Enter a height for your Triangle2: ";
    cin >> height2;
    cout << endl;
    
    cout << "################################" << endl;
    
    cout << "Triangle with larger area:" << endl;
    if ((0.5)*base1*height1 > (0.5)*base2*height2){
       Tri1.setValues(base1, height1);
       Tri1.getValues();
       cout << "Area: " << Tri1.getArea() << endl << endl;
 }
 else{
  Tri2.setValues(base2, height2);
  Tri2.getValues();
    	cout << "Area: " << Tri2.getArea() << endl;
 }
    
    return 0;
}
Read more about C++ programs here:
brainly.com/question/20339175
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