SUMMARY
The area of a triangle with a base of 2 and 3/4 (or 11/4) and a height of 4/9 is calculated using the formula 1/2 * (b*h). The correct calculation yields an area of 11/18. The discussion confirms that the solution is accurate, emphasizing the importance of ensuring that the height is perpendicular to the base for correct area calculation.
PREREQUISITES
- Understanding of basic geometry concepts, specifically triangle area calculation.
- Familiarity with fractional arithmetic and simplification.
- Knowledge of the formula for the area of a triangle: 1/2 * (base * height).
- Ability to identify perpendicular heights in triangle geometry.
NEXT STEPS
- Study the properties of different types of triangles, including equilateral and right triangles.
- Learn about the implications of slanted heights in triangle area calculations.
- Explore advanced geometric concepts such as Heron's formula for area calculation.
- Practice solving triangle area problems with varying base and height configurations.
USEFUL FOR
Students studying geometry, educators teaching triangle properties, and anyone needing to verify triangle area calculations.