SUMMARY
The perimeter of Triangle ABC, with vertices A(1, 1), B(9, 3), and C(3, 5), is calculated by determining the lengths of sides AB, BC, and AC. The distance formula is applied to find these lengths: AB = 8, BC = 6.324, and AC = 2.828. The total perimeter is the sum of these distances, resulting in a perimeter of approximately 17.152 units.
PREREQUISITES
- Understanding of the distance formula in coordinate geometry
- Basic knowledge of triangle properties
- Familiarity with Cartesian coordinates
- Ability to perform arithmetic operations with real numbers
NEXT STEPS
- Study the distance formula in detail
- Explore properties of triangles and their perimeters
- Learn about coordinate geometry applications
- Investigate methods for calculating areas of triangles
USEFUL FOR
Students studying geometry, educators teaching coordinate geometry, and anyone interested in practical applications of mathematical concepts in real-world scenarios.