C Program For The Hypotenuse Of A Right Angled Triangle

c^2=a^2+b^2.

Example:

Consider the given right-angled triangle with side lengths a = 3 units and b = 4 units. The Pythagorean theorem is applied to calculate the length of the hypotenuse (c):

c^2 = 3^2 + 4^2

c^2 = 9 + 16

c^2 = 25

We can determine 'c' by finding the square root of both sides. This indicates that the length of the hypotenuse is 5 units.

Program:

Let's consider a C program to calculate the hypotenuse of a right-angled triangle.

#include <stdio.h>

#include <math.h>



int main() {

 double a, b, c;

 printf("Enter the side 'a': ");

 scanf("%lf", &a);

 printf("Enter the side 'b': ");

 scanf("%lf", &b);

 c = sqrt(a * a + b * b);

 printf("The length of the Hypotenuse is: %.2lf\n", c);

 return 0;

}

Output:

Enter the side 'a': 3

Enter the side 'b': 4

The length of the Hypotenuse is: 5.00



Enter the side 'a': 21

Enter the side 'b': 28

The length of the Hypotenuse is: 35.00

Explanation:

• ✅ Include Libraries: In this example, we begin with including the necessary libraries. This program requires <h> for input and output functions, and <math.h> for mathematical computations like the square root (sqrt) function.
• ✅ Main Function: We declare the primary functionas the program's entry point.
• ✅ Variable Declaration: We define three double elements: a, b, and c. These variables will be used to hold the lengths of the two smaller sides (an and b) and the end of the hypotenuse (c).
• ✅ Input: We ask the user to enter the dimensions of the two smaller sides (aand b) with the printf and scanf The %lf format specifier acts for reading and storing double values.
• ✅ Calculation: We use the Pythagorean theorem to compute the hypotenuse length (c): c = sqrt(a a + b b) . We first square a and b, add them, and then use the sqrt method from the <math.h> library to get the square root.
• ✅ Output: The printf function is used to display the estimated length of the hypotenuse. Using the %.2lf format specifier, the result is presented with two decimal places.
• ✅ Return: Finally, the primary function returns 0, indicating that the program was successfully executed.