Hi, you don't have to split a triangle into integers. For example, you could have
50^2 = 25^2 + 43.3^2
Strictly speaking, if you have a circle of radius 50, you can take the sine and cosine of any angle and get a possible way to split the length.
50^2 = 25^2 + 43.3^2
Strictly speaking, if you have a circle of radius 50, you can take the sine and cosine of any angle and get a possible way to split the length.
1) The sides of a triangle (3-4-5) can represent portions of any shape. For example, circle area (radius 3) + circle area (radius 4) = circle area (radius 5).
Instead of radius, you could pick diameter, circumference, or any line segment and the relationship would hold.
2) You can use the Pythagorean Theorem to split any squared quantity into two smaller ones. This can yield surprising insights; is it immediately clear that a list of 50 takes as long to bubble sort as a list of 30 and 40? =)