Question

prove Pythagoras theorem

Answer 1

Proofs by dissection and rearrangement
We have already discussed the Pythagorean proof, which was a proof by rearrangement. ...
The theorem can be proved algebraically using four copies of a right triangle with sides a, b and c, arranged inside a square with side c as in the top half of the diagram.

Answer 2

h = hypotenuse
a= any length of a right triangle.
p= perpendicular

h² = a² + p²