Write, test, and execute a function that accepts the values of a, b, and c as parameters from a calling function, and then calculates the values of s and [s(s - a)(s - b)(s -c)]. If this quantity is positive, the function calculates A. If the quantity is negative, a, b, and c do not form a triangle, and the function should set A = -1. The value of A should be returned by the funcio %3D

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
Question
Heron's formula provides a method to calculate the area \( A \) of a triangle with sides of lengths \( a \), \( b \), and \( c \). The formula is given by:

\[
A = \sqrt{s(s-a)(s-b)(s-c)}
\]

where \( s \) is the semi-perimeter of the triangle, defined as:

\[
s = \frac{(a+b+c)}{2}
\]

**Instructions:**

1. Write, test, and execute a function that accepts the values of \( a \), \( b \), and \( c \) as parameters.
2. The function should calculate the semi-perimeter \( s \) and the terms \( s-a \), \( s-b \), \( s-c \).
3. If all these terms are positive, calculate the area \( A \).
4. If any term is negative, \( a \), \( b \), and \( c \) do not form a triangle; in this case, the function should set \( A = -1 \).
5. The value of \( A \) should be returned by the function.
Transcribed Image Text:Heron's formula provides a method to calculate the area \( A \) of a triangle with sides of lengths \( a \), \( b \), and \( c \). The formula is given by: \[ A = \sqrt{s(s-a)(s-b)(s-c)} \] where \( s \) is the semi-perimeter of the triangle, defined as: \[ s = \frac{(a+b+c)}{2} \] **Instructions:** 1. Write, test, and execute a function that accepts the values of \( a \), \( b \), and \( c \) as parameters. 2. The function should calculate the semi-perimeter \( s \) and the terms \( s-a \), \( s-b \), \( s-c \). 3. If all these terms are positive, calculate the area \( A \). 4. If any term is negative, \( a \), \( b \), and \( c \) do not form a triangle; in this case, the function should set \( A = -1 \). 5. The value of \( A \) should be returned by the function.
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