Question

how do you prove the Pythagoras theorem by using areas?

Answer 1

Area = 0.5 x b x h

Answer 2

If you draw a square with each side of a right triangle as its base, then calculate the area of each of these squares, since the area of a square is the square of its side, you'd see that:
a^2=b^c+c^2
Which is the Pythagorean theorem.