Yup, and knowing that having triangle sides multiples of 3,4,5 guarantees that it's a right triangle is not the same as employing pythagorean theorem. You know

Yup, and knowing that having triangle sides multiples of 3,4,5 guarantees that it's a right triangle is not the same as employing pythagorean theorem. You know one triplet, and not why it works, or that e.g. it works for 5, 12, and 13 and 11,60, 61 as well. A whole lot of people know that measuring a bookcase corner to corner is a good way to square it up, too. But they may not be masters of geometry beyond knowing a rule of thumb.