Geometric visualization of determinants
- Author:
- Ana D Todorova
Ratio of the areas of two triangles using determinants
Given the triangle ABC. Let the points E, F and G be the mid points of the sides of the triangle ABC .
a) Find the ratio of the areas of the triangles ABC and EFG by exploring the Applet.
b) Prove by geometric means and by determinants.
c) Write your answer with algebraic notation in general terms.