The code defines a structure for a triangle, with three integer sides. It then provides a function to sort an array of these triangle structures by their area. The area of each triangle is calculated using Heron's formula, and the array is sorted using a simple insertion sort algorithm.
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The solution first calculates the area of each triangle using Heron's formula, which is a mathematical formula used to find the area of a triangle when the lengths of all three sides are known. These areas are stored in an array. The code then sorts the array of triangles using an insertion sort algorithm, which is a simple sorting algorithm that builds the final sorted array one item at a time. It is much less efficient on large lists than more advanced algorithms such as quicksort, heapsort, or merge sort.
#include
#include
#include
struct triangle
{
int a;
int b;
int c;
};
typedef struct triangle triangle;
void sort_by_area(triangle* tr, int n) {
float areas[n]; // array storing triangle areas
double p, S; // for calculating arrays
// Calculate triangle areas
for (int i = 0; i < n; i++) {
p = (tr[i].a + tr[i].b + tr[i].c) / 2.0;
S = sqrt(p * (p - tr[i].a) * (p - tr[i].b) * (p - tr[i].c));
// Add to the array
areas[i] = S;
}
for (int i = 1; i < n; i++) {
if (areas[i] < areas[i - 1]) {
int j = i;
// Swap values
while (j > 0 && areas[j] < areas[j - 1]) {
double temp = areas[j];
triangle temp_tr = tr[j];
areas[j] = areas[j - 1];
tr[j] = tr[j - 1];
areas[j - 1] = temp;
tr[j - 1] = temp_tr;
--j;
}
}
}
}
int main()
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