1. To be strictly correct, you mean triangles whose sides have only whole number length ratios.

    For example, let’s say we want to find the right triangles with a side length of 7cm. I contend that there are an infinite number of right triangles that fit this requirement, and will prove it with this following illustration:

    Construct a circle with the a 7cm diameter using a compass. Draw the diameter in with a ruler. Now, no matter what point you pick on the circumference, if you connect that point to the ends of the diameter with straight line segments, you will have a right triangle with a hypotenuse of 7; this is a proven theorem of geometry. Since there are an infinite range of points along the circumference of the circle, there are an infinite number of right triangles with a side of 7.

    To prevent confusion, I recommend clarifying this point on the slide show tutorial.

  2. and, there is mention about a simpler proof of the pythagoras theorem. where is it? This is a good trick in math but why do you mention about the proof and didn’t give it.

  3. this steps don’t cover all of the steps to cover Pythagorian triplet.
    actually, except 1,2,4 all the numbers can make at least one Pythagorian triplate in which that is the lowest number among those three.