Pythagorean_Theorem_Presentationsss.pptx

Pythagorean_Theorem_Presentation

1. The Pythagorean Theorem Exploring Right Triangles and Their Secrets Name: [Your Name] School: [Your School] Date: [Date]

2. Introduction The Pythagorean Theorem states that in a right triangle: a² + b² = c² where 'a' and 'b' are the legs and 'c' is the hypotenuse.

3. History • Discovered by Pythagoras (~500 BC) • Used in ancient civilizations: Babylon, India, China • There are over 400 known proofs!

4. Understanding the Formula a = one leg of the triangle b = the other leg c = the hypotenuse (longest side) Formula: a² + b² = c²

5. Example Problem Given: a = 3, b = 4 Find c: c² = 3² + 4² = 9 + 16 = 25 c = 5

6. Real-Life Applications • Architecture & construction (roofs, ramps) • Navigation & mapping • Computer graphics and design

7. Practice Questions 1. a = 6, b = 8 → c = ? 2. a = 9, c = 15 → b = ?

8. Summary • Theorem: a² + b² = c² • Applies only to right triangles • Fundamental in many real-world uses

9. Thank You! "Mathematics is the language in which God has written the universe." – Galileo