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.
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.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
Related questions
Question
In C++
Expert Solution
Step 1: Algorithm
- Start the program.
- Declare the
Pythagoras
function that takes three integer parameters:a
,b
, andc
. - 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 tob
^2 +c
^2, setcondition1
totrue
. - If
b
^2 is equal toa
^2 +c
^2, setcondition2
totrue
. - If
c
^2 is equal toa
^2 +b
^2, setcondition3
totrue
.
- If
- If any of the conditions (
condition1
,condition2
, orcondition3
) istrue
, returntrue
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.
- Check if any of the input values (
- In the
main
function:- Declare three integer variables:
a
,b
, andc
. - Ask the user to input three integers representing sides of a triangle.
- Read and store the user input in the variables
a
,b
, andc
. - Call the
Pythagoras
function with the values ofa
,b
, andc
. - 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."
- If it returns
- Declare three integer variables:
- End the program.
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