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Mastering the Pythagorean Theorem: Examples and Applications

Learn to apply the Pythagorean Theorem in real-life scenarios and solve for unknown sides using Pythagorean Triples. Discover how to classify triangles based on side lengths and angles. Engage with practical examples and interactive activities.

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Mastering the Pythagorean Theorem: Examples and Applications

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  1. Section 8.2 Notes: The Pythagorean Theorem and its Converse Agenda: Check Homework 8.2 Notes

  2. Example 1: Find the value of x. a)

  3. Example 1: Find the value of x. b)

  4. Pythagorean Triples - a set of nonzero whole numbers a, b, and c that satisfy the Pythagorean Theorem.

  5. Example 2: Use a Pythagorean Triple to find the value of x. a)

  6. Example 2: Use a Pythagorean Triple to find the value of x. b)

  7. Example 3: a) A 20-foot ladder is placed against a building to reach a window that is 16 feet above the ground. How many feet away from the building is the bottom of the ladder?

  8. Example 3: b) A 10-foot ladder is placed against a building. The base of the ladder is 6 feet from the building. How high does the ladder reach on the building?

  9. Example 4: a) Determine whether 9, 12, and 15 can be the measures of the sides of a triangle. If so, classify the triangle as acute, right, or obtuse. Justify your answer.

  10. Example 4: b) Determine whether 10, 11, and 13 can be the measures of the sides of a triangle. If so, classify the triangle as acute, right, or obtuse. Justify your answer.

  11. Pythagorean Theorem Post-It Activity

  12. Summary!

  13. Summary! 1. Are the triangles obtuse, right, or acute? a)

  14. Summary! 1. Are the triangles obtuse, right, or acute? b)

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