Fig. 2.

Then construct a right-angled triangle as shown by Figure 2.

We then see that the sum of the two small squares is equivalent to the large square.

And as we see that C has 25 small squares, it is thus proved that the sum of the squares upon the sides which contain the right angle are equal to the squares upon the side opposite the right angle.

Q.E.D.


THE GREAT FISH PROBLEM.

[209.] There is a fish the head of which is 9 in. long, the tail is as long as the head and half the back, and the back is as long as the head and tail together. What is the length of the fish?