The theorum says, if you take the length of each of the two short sides, a and b, you can determine the length of the third long side, if it is a right triangle.

a*a+b*b=c*c

So the length of c = sqrt(c*c).

It is used in everything from carpentry, to computer programs, to computer design, to navigation, to building design, and in all areas of the sciences.

It is even used in places people do not realize it is being used.

If you have a triangle with a right angle, the two sides that make up the right angle are the short sides, say east-west and north-south. Now, knowing only the starting and ending coordinates, you know the shortest possible distance. If you were a computer, you could take all the little bends in the road and convert them into thousands of little triangles and know exactly how far anything is from anything.

I found images on the web that might make it clear. See below.

Many theorems and other things hang on this.

Here is a short example –

The altitude of a mountain is 500m. The peak is pointed. The horizontal distance of the start of the mountain to the peak is 75m. What is the length of the slope from the start of the hill to the peak?

Or – what is the size of a ladder if it is touching a window 17m high And the distance of it’s bottom from the wall is 10 cm?

c2 is the longest side, so put the biggest number there.

then put the other number in the equation.

you’re trying to find the missing side of the triangle.

with the two numbers in the equation, square the numbers, then add, find the square root of the addition answer.

its used to mesure angles of triangles and lengths of the sides