Area of a Triangle

Compare the parallelogram ABCD and the triangle EFG. Grab and move the point B to change the base of the parallelogram. Grab and move the point D to change the height of the parallelogram. Use the rotation slider to rotate the triangle clockwise around the point O. What conclusion can you make about the area of a triangle when it has the same base and height as a parallelogram? Verify your conjecture by using the translation slider.