Write a function bool Pythagoras (int a, int b, int c) {...} that takes three integers as parameters, and checks if they are the sides of a right triangle (That is a² = b² + c² or b² = a² + c² or c² = a² + b². Make sure all values passed to the function are legit. Incorporate the function in a program that reads 3 integers and prints whether they are distinct.

Start the program.Declare the Pythagoras function that takes three integer parameters: a, b, and…

Answered: Write a function bool Pythagoras (int a, int b, int c) {...} that takes three integers as parameters, and checks if they are the sides of a right triangle (That…

Database System Concepts

7th Edition

ISBN: 9780078022159

Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher: McGraw-Hill Education

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Question

In C++

Write a function
bool Pythagoras (int a, int b, int c) {...}
that takes three integers as parameters, and checks if they are the sides of a right triangle (That is a² = b² + c²
or b² = a² + c² or c² = a² + b². Make sure all values passed to the function are legit. Incorporate the function in
a program that reads 3 integers and prints whether they are distinct.

Expert Solution

Step 1: Algorithm

Start the program.
Declare the Pythagoras function that takes three integer parameters: a, b, and c.
Inside the Pythagoras function:
- Check if any of the input values (a, b, c) are less than or equal to zero.
- If any value is less than or equal to zero, return false because sides of a triangle cannot be zero or negative.
- Check three conditions using the Pythagorean theorem:
  - If a^2 is equal to b^2 + c^2, set condition1 to true.
  - If b^2 is equal to a^2 + c^2, set condition2 to true.
  - If c^2 is equal to a^2 + b^2, set condition3 to true.
- If any of the conditions (condition1, condition2, or condition3) is true, return true because these sides form a right triangle.
- If none of the conditions are met, return false because the sides do not form a right triangle.
In the main function:
- Declare three integer variables: a, b, and c.
- Ask the user to input three integers representing sides of a triangle.
- Read and store the user input in the variables a, b, and c.
- Call the Pythagoras function with the values of a, b, and c.
- Check the return value from Pythagoras:
  - If it returns true, print "These sides form a right triangle."
  - If it returns false, print "These sides do not form a right triangle."
End the program.

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