Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN: 9780133594140
Author: James Kurose, Keith Ross
Publisher: PEARSON
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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.
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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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