You could visualize it by looking at the face of a clock and imagining a circle around the face. There would be 12 markings on it (the knots of your string)
the first marking could be 1:00 , the second at 4:00 and the third at 8:00
now count the number of hours between the intervals:
from 1 to 4 ---- 3 hours, so 3 units on your string
from 4 to 8 --- 4 hours, so 4 units on your string
from 8 to 1 ---- 5 hours, so 5 units on your string
Now they form a triangle, obviously scalene
But what else do you notice about the numbers 3, 4, and 5 ?
hint: Think Pythagoras
Imagine a circle of rope, which has twelve evenly spaced knots tied in it. Suppose that this rope has been pulled into a taut, triangular shape, with stakes anchoring the rope at knots numbered 1, 4, and 8. Make a conjecture about the type of the triangle.
How do I even draw this? So at first there will be a circle with twelve points on it, but what comes after? Thank you
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