Programming C

Next you will need #include and #include . You will also need the constant PI which will be defined as 3.14159

Now write the prototypes for two functions:

• One is called hypotenuse which returns a double and takes as arguments two doubles for the two sides of a right triangle. (It will return the length of the hypotenuse of that triangle.
• The other is called angle, it will take a side and a hypotenuse return the angle opposite that side. The return type of this one will also be a double.

Now write a main with variables for the two sides, the hypotenuse, and the two angles. (Yes, a triangle has three angles, but one of them is 90 because this is a right triangle.) Begin by asking the user for the two sides. Then call your function to compute the hypotenuse. This information is then passed to the function that calculates the angle. The output of the result is done in the main, not in the functions. The functions simply make calculations and return the result of those calculations.

Under the main write the definition of the two functions:

• hypotenuse will use the Pythagorean formula, c = square_root(a² + b²) [use the sqrt function from math.h]
• angle will compute one of the angles (not the 90 angle). For this we will use the fact that the sine of an angle = the opposite-side/hypotenuse. If we send this value to the math.h function asin we find out a value for the angle. BUT the value is returned in radians, not degrees. To convert this to degrees we multiply it 180 and divide it by PI

There are two ways to calculate the other angle. I will leave you to figure them out. (Hint: One of them uses the fact that the sum of the angles of any triangle is 180.)

Output should be formatted to two decimal places.

Sample interaction:

Please enter the two sides of your triangle.

45

60

The hypotenuse of your triangle is 75.00

The two angles of your triangle are 36.87 degrees and 53.13 degrees.