# The area of a triangle can be computed by the sine law when 2 sides of the triangle and the angle between them are known.

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Sections
14
Exercises

Area = (1 / 2 ) ab sin ( angle )

Given the following 6 triangular pieces of land, write a program to find their area and determine which is largest.

 Plot No. a b angle 1 137.4 80.9 0.78 2 155.2 92.62 0.89 3 149.3 97.93 1.35 4 160.0 100.25 9.00 5 155.6 68.95 1.25 6 149.7 120.0 1.75

``````#include<stdio.h>
#include<conio.h>
#include<math.h>
int main()
{
float a[6][4] = {
//	Plot No. 	 a      b      angle
1,		137.4,	80.9,	0.78,
2,		155.2,	92.62,	0.89,
3,		149.3,	97.93,	0.89,
4, 		160.0,	100.25,	1.35,
5, 		155.6,	68.95,	1.25,
6,		149.7,	120.0,	1.75,
},
ar[6],//areas
max;
int i, x = 0;//plot no.

for (i = 0; i<6; i++)
{
ar[i] = (0.5)*a[i][1] * a[i][2] * sin(a[i][3]);
if (max<ar[i])
{
max = ar[i];
x = a[i][0];
}
}

printf("\n\n\nAreas of the triangles are ~ ");

for (i = 0; i<6; i++)
printf("\n%f : %2f,", a[i][0], ar[i]);

printf("\n\n\nNumber %d. triangle has maximum area of %2f.", x, max);

_getch();
return 0;
}``````

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