LAB 03A - TRIANGLE CLASSIFIER

Concepts

The goal of this lab is to practice the use of if-else statements by classifying triangles based on their sides. It will also teach you how to correctly compare two double variables for equality using a tolerance factor. Your solution will be submitted with HW 03 next Wednesday.

Instructions

Create yourself an empty project. Since we assume you have been doing our class assignments, we assume you know how to do this by now. Call this project Lab03A.

Write code to first read three real value measurements, i.e., your program should prompt the user to enter the three real values (which should be stored as three double variables). Once done, write code to determine whether the three real value measurements make a triangle. If yes, your program should tell the user whether the triangle is a right, acute, or obtuse triangle (see hints below). If no, your program should politely terminate with an appropriate error message.

The user should be allowed to enter the three real values in any order; in other words, your program should not assume any particular input order such as ascendant or descendant.

Hints

• A triangle is only possible IF each side is smaller than the sum of the others.
• To classify a triangle, first you need to determine which of the three sides is the longest. The variable names a, b, and c are often used for the sides of a triangle, with c being the longest. If c is the longest side of the triangle, then the triangle is a right triangle if (and only if) a² + b² == c².
• Due to the imprecise nature of double variables, you cannot directly compare two double variables with the == operator. Instead, you should do the comparison using a TOLERANCE constant (e.g., TOLERANCE == 0.0001) in the following way:
// The fabs function (defined in cmath) returns the absolute value of a given floating point number.
// Thus, if the following equation is true, then we assume a² + b² == c².
         fabs(a² + b² - c²) <= TOLERANCE
• The TOLERANCE constant represents the error we are willing to accept when comparing two double values for equality; in other words, if two values are different by TOLERANCE (or less), then we consider the two values as equivalent. In your program, declare a TOLERANCE constant and set it to 0.0001.
• You must check to see if the triangle is a right triangle first; otherwise you may be classifying a right triangle as acute or obtuse by mistake.
• If the triangle is not right, you should then check whether if it is acute (i.e., a² + b² > c²).
• Otherwise, if the triangle is not right or acute, then you can say the triangle is obtuse (i.e., a² + b² < c²)

Lab Submission

You will submit your solution to this lab with your third homework assignment. Detailed instructions for doing this are posted in Homework 03.