Right Triangles
- “What makes a triangle a right triangle? How many different right triangles can be formed?” Is it possible to get them all? How does the Pythagorean Theorem help with find the length of sides?
- Use the GeoGebra applet to explore the relationship between side lengths of 45-45-90 triangles and 30-60-90 triangles. Create three of each triangle and record their measurements in the chart below.
Download the Table: Angles and Sides of a Triangle.
| Angle A | Angle B | Angle C | Side AB | Side BC | Side CA (Hypotenuse) |
|
|---|---|---|---|---|---|---|
| Triangle 1 | ||||||
| Triangle 2 | ||||||
| Triangle 3 | ||||||
| Triangle 4 | ||||||
| Triangle 5 | ||||||
| Triangle 6 |
Once all measurements have been recorded, proceed. Is it true in all 6 triangles that \(AB^2+BC^2 = AC^2\)?
