Let ABC be a given triangle. The triangle with sides equal to the medians of ABC is called the [i]Median Triangle[/i].[br]We will show that the area of the median triangle is 3/4 of the area of the original triangle ABC.[list][*]Drag the two sliders to the end to construct the median triangle by translating the medians.[/*][/list]We will rearrange the area of the median triangle.[list][*]Click the [i]Rearrange[/i] checkbox. This will show a green point at the vertex of the median triangle. [br][/*][*]Drag the green point to C. [br][/*][*]Drag the green point at B to [math]M_c[/math].[br][/*][*]Drag the green point at [math]M_a [/math] to [math]M_c[/math].[br][/*][/list]