In this math video we will determine the proof of the Pythagorean Theorem using squares. We will be present with an image created from three squares connected at their vertices to form a right triangle in the center. We will be presented with four possible explanations to use the diagram as a proof of the Pythagorean Theorem. We will consider each explanation and visually consider each. An exemplar solution is modeled and explained.
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00:00 Introduction
00:14 The Question
00:44 Understanding the Problem
00:58 Consider Choice A
01:42 Consider Choice B
03:17 Consider Choice C
03:34 Consider Choice D
03:44 The Solution
Geometry
Understand and apply the Pythagorean Theorem.
8.G.B.6 Explain a proof of the Pythagorean Theorem and its converse.
8.G.B.6 Determine the relationship between the areas of three squares whose sides form a right triangle