The Pythagorean Theorem  - Connecting Right Triangles & the Coordinate Plane​

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In this learning module, we will discover one of the most famous principles in mathematics—the Pythagorean Theorem.  The Pythagorean Theorem is one of the most well-known principles in mathematics, specifically related to right triangles. It states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

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The Pythagorean Theorem is a powerful tool for solving problems involving right triangles. If you know the lengths of two sides of a right triangle, you can use the theorem to find the length of the third side. By mastering this theorem, you’ll gain the ability to find missing side lengths in right triangles and unlock its practical applications in solving problems.

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Finally, we’ll extend the Pythagorean Theorem to real-world scenarios and the coordinate plane. You’ll learn how to apply the theorem to measure distances between two points, solve geometry problems, and analyze practical situations like finding the shortest path or measuring diagonal distances. By the end of this module, you’ll have a solid understanding of real numbers, roots, and the Pythagorean Theorem—and the confidence to apply these concepts in math and beyond. Let’s begin this journey into the powerful connections between numbers and geometry!