Pythagorean Theorem

Solving for the length of the hypotenuse (C).

A traditional proof for Pythagorean theorem uses the area of the sides to justify the length of
a2 + b2 = c2, while the focus of the equation focuses on the length of the sides of a right triangle.

The key idea to remember, when doing so, is you are trying to verify, or find, the length of C.

Look at the two explanations in the figures below.

The first, uses areas to verify the length of C.

The second, focuses a bit more on lengths to verify the length of C.

Below the examples is a work sheet to verify the second model.

Area model


Length model

Jumbo Square Inscribed in Four Triangles - work sheet

Jumbo Square image


Dr. Robert Sweetland's notes
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