Key Concepts:
- The Pythagorean theorem states that in a right triangle: (a^2 + b^2 = c^2) where a and b are the legs and c is the hypotenuse.
- Pythagorean triplets (e.g., (3-4-5), (5-12-13)) can be used for quick calculations.
Skills Covered:
- Solving for a missing side length when given two sides of a right triangle.
- Applying the theorem to real-world problems involving rectangles and diagonals.
Example Problems:
- Given legs of 6 cm and 8 cm, find the hypotenuse.
- Find the length of a rectangle’s diagonal when its width is 5 and height is 12.