Egyptians were able to create right angles for building
and surveying using a rope with 12 equally-spaced
knots to form a right triangle.
Any triangle can be cut and
reformed into a rectangle.
The two smaller numbers of a
Pythagorean triple cannot both be odd.
Any multiple of a Pythagorean
triple is also a Pythagorean triple.
The Pythagorean Theorem holds for any numbers a, b, and
c that form
the sides of a right triangle.
If two right triangles have
corresponding sides the same length, the triangles have
to be the
same size and shape (congruent).
This diagram shows that (a +
b)2 = a2
+ 2ab + b2