Constructing Pythagorean Squares

The
Constructing a Third Square
Problem

Two Squares

Given: the two squares in the figure above, construct a third square
whose area equals the sum of the areas of the two given squares.

First bring the two given squares together as follows:

            Next, flip the first one of the two squares vertically about its base line
            and draw a line connecting the two upper left-hand corners of the two squares.

Two Squares on the Sides of a Right Triangle

Now draw a square with sides equal to the line segment just drawn.

Pythagorean Squares

NOW try this:
Given 3 squares, construct a 4th square whose area is equal to the sum of the areas of
the 3 given squares.

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