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Grade 8 Math Lab: Functions & Proofs FREE
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The Pythagorean Theorem
Learning Objectives
- Apply the Pythagorean theorem
- Find missing side lengths
- Determine right triangles
Key Concepts
Pythagorean Theorem
a² + b² = c² for right triangles
Hypotenuse
Longest side, opposite the right angle (c)
Theory
**a² + b² = c²** (c is the hypotenuse)
**Find hypotenuse:** c = √(a² + b²)
**Find leg:** a = √(c² - b²)
**Pythagorean triples:** 3-4-5, 5-12-13, 8-15-17, 7-24-25
**Converse:** If a² + b² = c², then the triangle is a right triangle.
Examples
Legs 6 and 8, find hypotenuse
Solution: c = √(36 + 64) = √100 = 10