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:
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
// Java program to calculate// the area of a triangle when // the length of two adjacent // sides and the angle between// them is providedclass 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
# Python3 program to calculate# the area of a triangle when # the length of two adjacent # sides and the angle between# them is providedimport 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 = 9b = 12k = 2# Function Call ans = Area_of_Triangle(a, b, k) # Print the final answer print(round(ans, 2)) |
C#
// C# program to calculate// the area of a triangle when // the length of two adjacent // sides and the angle between// them is providedusing 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 |
Javascript
<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 Callvar ans = Area_of_Triangle(a, b, k);// Print the final answerdocument.write(ans.toFixed(1));// This code is contributed by 29AjayKumar </script> |
Output:
49.1
Time Complexity: O(1)
Auxiliary Space: O(1)
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