Define an enumeration type triangletype that has the values scalene, isosceles, equilateral, and notriangle. write a function triangleshape that takes as parameters three numbers, each of which represents the length of a side of the triangle. the function should return the shape of the triangle. (note: in a triangle, the sum of the lengths of any two sides is greater than the length of the third side.) write a program that prompts the user to input the length of the sides of a triangle and outputs the shape of the triangle.

#include <iostream>

using namespace std;

int main()

{

   int side1=0;

   int side2=0;;

   int side3=0;

cout <<"Enter side one measurement";

cin >> side1;

cout <<"Enter side two measurement";

cin >> side2;

cout <<"Enter side three measurement";

cin >> side3;

if(side1+side2>side3||side1+side3>side2||side2+side3>side1){

if (side1==side2 && side2==side3)

{

   cout <<"equilateral triangle"<<endl;

}

else if(side1==side2||side2==side3||side1==side3){

   cout <<"Isosceles triangle"<<endl;

}

else{

      cout <<"scalene triangle"<<endl;

}

}else{

   cout<<"No triangle";

}

   return 0;

}

Explanation:

The code is written in c++. It takes measurements of each side from users as input and check the types of triangle based on the following formula.

1. Equilateral Triangle

If all sides of a triangle are equal than it's an equilateral triangle.

2. Isosceles Triangle

If any two  sides of a triangle are equal than it's an Isosceles triangle.

3. Scalene Triangle

If all the sides of a triangle are of different length than it's an Scalene triangle.

In a triangle the sum of two sides is greater than third side otherwise it's not a triangle.