Square roots connect squares and right triangles. Using the Pythagorean Theorem, the video shows the relationship between the sides and hypotenuse of a 45-45 right triangle. The portion of a larger geometry playlist applies the relationship to find the lengths associated with a square.

Concepts

right triangles, special right triangles, pythagorean theorem, ratios

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Additional Tags

math

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Instructional Ideas

• Lead a discussion on whether a length of an isosceles right triangle will be a multiple of the square root of two
• Create a graphic organizer on how to find the sides given the hypotenuse or the hypotenuse given the sides

Classroom Considerations

• Assumes individuals are comfortable working with radicals

• This video is hosted on YouTube

Pros

• Links to more resources dealing with 45-45 right triangles
• Shows the arithmetic to solve the examples

Cons

• None