Question

Write an interactive C++·program to have a user input their three initials and the length of three sides of a triangle. Allow the user to enter the sides in any order.

Determine if the entered sides form a valid triangle.The triangle may not have negative sides.The sum of any two sides must be greater than the third side to form a triangle.

Determine if the entered sides are part of a scalene, isosceles, or equilateral triangle. Using the

Pythagorean Theorem, determine if the scalene triangle is also right triangle. (A^2+ B^2= C^2, where C is the hypotenuse.)Adequately check entered data for validity.

Use adequate test data to process all valid data and representative combinations of invalid data.Label output clearly.

Be sure your output printout contains user prompts and what was entered by the user in addition to the results of your program processing.

Examples

of test data

3 4 5

1 2 0

7 -3 5

6 6 4

7 7 7

2 2 4

Answer 1

#include <iostream>
#include <fstream>

using namespace std;

bool isValid(int a, int b, int c) {
        if(a < 0 || b < 0 || c < 0) {
                return false;
        }
        if(a > (b + c)) {
                return false;
        }
        if(b > (a + c)) {
                return false;
        }
        if(c > (a + b)) {
                return false;
        }
        return true;
}

void processTriangle(int a, int b, int c) {
        if(!isValid(a, b, c)) {
                cout << "Invalid triangle" << endl;
        } else {
                if(a == b == c) {
                        cout << "equilateral triangle" << endl;
                } else if(a == b || a == c || b == c) {
                        cout << "isosceles triangle" << endl;
                } else {
                        if(a > b && a > c && (a*a == (b*b + c*c))) {
                                cout << "Right triangle" << endl;
                        } else if(b > a && b > c && (b*b == (a*a + c*c))) {
                                cout << "Right triangle" << endl;
                        } else if(c > b && c > a && (c*c == (b*b + a*a))) {
                                cout << "Right triangle" << endl;
                        } else {
                                cout << "Scalene triangle" << endl;
                        }                       
                }
        }
}

int main() {
        ifstream f("input.txt");

        if(f.fail()) {
                cout << "File input.txt not found." << endl;
        } else {

                int a, b, c;

                while(f >> a >> b >> c) {
                        processTriangle(a, b, c);
                }
        }
}

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