In a triangle ABC, E is the mid-point of median AD. Show that ar (ΔBED) = 14ar(ΔABC) [2 MARKS]
Concept : 0.5 Mark
Application : 0.5 Mark
Calculation : 1 Mark
As AD is the median of △ABC.It divides △ABC into 2 equal triangles.
Area(△ABD) = 12Area(△ABC)
Similarly, E is the mid point of AD and BE is the median.
∴ Area (△BED) = 12Area (△ABD) = 14Area (△ABC)