Key Concepts:
- Two common types of special right triangles:
- (30°-60°-90°) Triangle: The sides are in the ratio: (1:\sqrt{3}:2)
- (45°-45°-90°) Triangle: The sides are in the ratio: (1:1:\sqrt{2})
- The height of an equilateral triangle splits it into two congruent (30°-60°-90°) triangles.
Skills Covered:
- Using side ratios to find missing lengths in special triangles.
- Applying special triangle ratios to equilateral triangles and isosceles right triangles to calculate missing side lengths or area.
Example Problems:
- Find the hypotenuse in a (45°-45°-90°) triangle where each leg is 7 cm.
- Calculate the area of an equilateral triangle whose side length is 6.