Area of Triangle using Side-Angle-Side (length of two sides and the included angle)
Last Updated :
19 Dec, 2021
Given two integers A, B representing the length of two sides of a triangle and an integer K representing the angle between them in radian, the task is to calculate the area of the triangle from the given information.
Examples:
Input: a = 9, b = 12, K = 2
Output: 49.1
Explanation:
Area of triangle = 1 / 2 * (9 * 12 * Sin 2) = 35.12
Input: A = 2, B = 4, K = 1
Output: 3.37
Approach:
Consider the following triangle ABC with sides A, B, C, and an angle K between sides A and B.
Then, the area of the triangle can be calculated using the Side-Angle-Side formula:
Area (ABC) = \frac{1}{2} \ A * B * sin(K)
Below is the implementation of the above approach:
C++
// C++ program to calculate
// the area of a triangle when
// the length of two adjacent
// sides and the angle between
// them is provided
#include <bits/stdc++.h>
using namespace std;
float Area_of_Triangle(int a, int b, int k)
{
float area = (float)((1 / 2.0) *
a * b * (sin(k)));
return area;
}
// Driver Code
int main()
{
int a = 9;
int b = 12;
int k = 2;
// Function Call
float ans = Area_of_Triangle(a, b, k);
// Print the final answer
cout << ans << endl;
}
// This code is contributed by Ritik Bansal
// Java program to calculate
// the area of a triangle when
// the length of two adjacent
// sides and the angle between
// them is provided
class GFG{
// Function to return the area of
// triangle using Side-Angle-Side
// formula
static float Area_of_Triangle(int a, int b,
int k)
{
float area = (float)((1 / 2.0) *
a * b * Math.sin(k));
return area;
}
// Driver Code
public static void main(String[] args)
{
int a = 9;
int b = 12;
int k = 2;
// Function Call
float ans = Area_of_Triangle(a, b, k);
// Print the final answer
System.out.printf("%.1f",ans);
}
}
// This code is contributed by sapnasingh4991
# Python3 program to calculate
# the area of a triangle when
# the length of two adjacent
# sides and the angle between
# them is provided
import math
# Function to return the area of
# triangle using Side-Angle-Side
# formula
def Area_of_Triangle(a, b, k):
area =(1 / 2) * a * b * math.sin(k)
return area
# Driver Code
a = 9
b = 12
k = 2
# Function Call
ans = Area_of_Triangle(a, b, k)
# Print the final answer
print(round(ans, 2))
// C# program to calculate
// the area of a triangle when
// the length of two adjacent
// sides and the angle between
// them is provided
using System;
class GFG{
// Function to return the area of
// triangle using Side-Angle-Side
// formula
static float Area_of_Triangle(int a, int b,
int k)
{
float area = (float)((1 / 2.0) *
a * b * Math.Sin(k));
return area;
}
// Driver Code
public static void Main(String[] args)
{
int a = 9;
int b = 12;
int k = 2;
// Function Call
float ans = Area_of_Triangle(a, b, k);
// Print the readonly answer
Console.Write("{0:F1}", ans);
}
}
// This code is contributed by sapnasingh4991
<script>
// javascript program to calculate
// the area of a triangle when
// the length of two adjacent
// sides and the angle between
// them is provided// Function to return the area of
// triangle using Side-Angle-Side
// formula
function Area_of_Triangle(a , b, k)
{
var area = ((1 / 2.0) *
a * b * Math.sin(k));
return area;
}
// Driver Code
var a = 9;
var b = 12;
var k = 2;
// Function Call
var ans = Area_of_Triangle(a, b, k);
// Print the final answer
document.write(ans.toFixed(1));
// This code is contributed by 29AjayKumar
</script>
Time Complexity: O(1)
Auxiliary Space: O(1)
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