You can calculate the area of a triangle if you know the lengths of all three sides, using a formula that has been known for nearly 2000 years. It is called "Heron's Formula". Heron's formula uses the following two steps to calculate the area of a triangle. Step 1: Calculate "s" (half of the triangles perimeter): Step 2: Calculate Area: A = √√√s(sa)(sb)(s — c) #include By using Heron's formula, write the definition of the function area_of_triangle so that it can work in conjunction with the following source code. #include int main (void) { S= double a, b, c, area; printf("Enter the sides of triangle\n"); scanf("%lf%lf%lf", &a, &b, &c); a+b+c 2 area = area_of_triangle (a, b, c); printf ("Area of triangle = %.21f\n", area); return 0; Enter the sides of triangle 4.0 5.0 6.0 Area of triangle = 9.92 } You can use sqrt() from math.h header file. Its prototype is: double sqrt (double x); A sample run of this program is shown in the following figure.

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
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You can calculate the area of a triangle if you know the lengths of all three sides, using a
formula that has been known for nearly 2000 years. It is called "Heron's Formula". Heron's formula
uses the following two steps to calculate the area of a triangle.
Step 1: Calculate "s" (half of the triangles perimeter): S=
Step 2: Calculate Area: A = √s(sa)(sb)(sc)
By using Heron's formula, write the definition of the function area_of_triangle so that it can work in
conjunction with the following source code.
#include <stdio.h>
#include<math.h>
int main (void)
{
double a, b, c, area;
printf("Enter the sides of triangle\n");
scanf("%lf%lf%lf", &a, &b, &c);
a+b+c
2
area = area_of_triangle (a, b, c);
printf ("Area of triangle = %.21f\n", area);
return 0;
}
You can use sqrt() from math.h header file. Its prototype is: double sqrt (double x);
A sample run of this program is shown in the following figure.
Enter the sides of triangle
4.0
5.0
6.0
Area of triangle = 9.92
Transcribed Image Text:You can calculate the area of a triangle if you know the lengths of all three sides, using a formula that has been known for nearly 2000 years. It is called "Heron's Formula". Heron's formula uses the following two steps to calculate the area of a triangle. Step 1: Calculate "s" (half of the triangles perimeter): S= Step 2: Calculate Area: A = √s(sa)(sb)(sc) By using Heron's formula, write the definition of the function area_of_triangle so that it can work in conjunction with the following source code. #include <stdio.h> #include<math.h> int main (void) { double a, b, c, area; printf("Enter the sides of triangle\n"); scanf("%lf%lf%lf", &a, &b, &c); a+b+c 2 area = area_of_triangle (a, b, c); printf ("Area of triangle = %.21f\n", area); return 0; } You can use sqrt() from math.h header file. Its prototype is: double sqrt (double x); A sample run of this program is shown in the following figure. Enter the sides of triangle 4.0 5.0 6.0 Area of triangle = 9.92
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