A triangle circumscribes a rectangle. The triangle is not unique, so what is the minimum area of the triangle that circumscribes the triangle? Students use the dynamic representation on TI-Nspire, data capture and more to explore this problem with some elegant solutions.
The purpose of this activity is for students to combine some straight forward geometry (similar triangles) to establish a formula for the area of a special triangle so they can use calculus to determine the minimum area.
- Similar triangles
- Derivative (rational function)
About the Lesson
Students use a dynamic representation of a geometry problem, collect (generate) data and then use their equation to model the data. Once the equation is confirmed, students use differential calculus to determine the minimum area.