Pythagorean Theorem


When we add the two equations we get:

.

Factoring gives us:

But CD + DB = BC so we have:

or

.

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Activity Check

 

The area of the big square is 5*5 = 25 since each side is of length 3 + 2 = 5.

The area of each triangle is (2*3)/2 = 3.

The area of the smaller sqaure is the area of the larger sqaure minus the areas of the triangle or

25 - 4*3 = 25 -12 = 13.

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