c triangle check if triangle is 90 degrees

Checking if a Triangle is 90 Degrees in C

To check if a triangle is a right-angled triangle (90 degrees), you can use the Pythagorean theorem. The theorem states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Here's a step-by-step explanation of how to check if a triangle is a right-angled triangle in C:

  1. Input the sides of the triangle:

  2. Input the lengths of the three sides of the triangle.

  3. Calculate the squares of the sides:

  4. Calculate the squares of the lengths of the three sides.

  5. Identify the longest side as the hypotenuse:

  6. Identify the longest side as the hypotenuse (the side opposite the right angle in a right-angled triangle).

  7. Apply the Pythagorean theorem:

  8. Check if the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

  9. Output the result:

  10. If the condition is satisfied, then the triangle is a right-angled triangle. Otherwise, it is not.

Here's a simple example of how this can be implemented in C:

#include <stdio.h>
#include <math.h>

int main() {
    float side1, side2, side3;
    printf("Enter the lengths of the three sides of the triangle: ");
    scanf("%f %f %f", &side1, &side2, &side3);

    // Identify the longest side as the hypotenuse
    float hypotenuse = (side1 > side2) ? ((side1 > side3) ? side1 : side3) : ((side2 > side3) ? side2 : side3);

    // Apply the Pythagorean theorem
    if (hypotenuse  hypotenuse == (side1  side1 + side2  side2 + side3  side3 - hypotenuse * hypotenuse)) {
        printf("The triangle is a right-angled triangle.\n");
    } else {
        printf("The triangle is not a right-angled triangle.\n");
    }

    return 0;
}

This code takes the lengths of the three sides of the triangle as input and then checks if it forms a right-angled triangle using the Pythagorean theorem.