# Area of triangles and squares

- Author:
- Jillian Beck

## Questions to Explore

1. Move the height, length, and triangle sliders to see how the object works.
2. Move the height slider to 5, the length slider to 5, and the triangle slider to 60 degrees.
3. What is the area of the square and triangle?
4. What is the relationship between the triangle and the square?
5. What do you notice about the height of the triangle and the height of the square?
6. What do you notice about the length of the base of the triangle and the base of the square?
7. What do you notice about the area of the triangle and the area of the square?
8. Move each slider five more times. Write down the height, length, area of the triangle, and area of the square.
9. Compare your findings.
10. Is the triangle ever not going to be half the area of the square? Why?