Area of triangles and squares

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

Information: Area of triangles and squares