How to USE The Converse of The Pythagorean Theorem | 8.G.B.6 💗
In this video lesson we will learn about the Converse of The Pythagorean Theorem. We will first review how to use the Triangle Inequality Theorem to determine if three lengths could form a triangle. We will then discover that the converse of the Pythagorean Theorem is reversing the if then statement. We will use the Pythagorean Theorem to determine if a a triangle is a right triangle. We will also use the Pythagorean Theorem to determine if a triangle is a right, obtuse or acute triangle. Student practice is embedded in the lesson with modeled exemplar solutions.
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00:00 Introduction
00:46 The Triangle Inequality Theorem
02:57 Using the Triangle Inequality Theorem
03:52 Student Practice #1
05:12 Converse of The Pythagorean Theorem
06:36 Using the Converse of the Pythagorean Theorem
07:47 Student Practice #2
08:40 Is the triangle Right, Acute or Obtuse?
09:24 Using the Converse of the Pythagorean Theorem
10:12 Student Practice #3
Common Core Math Standards
Understand and apply the Pythagorean Theorem.
8.G.B.6 Explain a proof of the Pythagorean Theorem and its converse.
8.G.B.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
