Question

Identify the set of triangles with equal area from the figure given below:

• A. Triangles ADG, BDG, CDG
• B. Triangles ADF, BEG, CDG
• C. Triangles ADG, BDE, AFG
• D. Triangles ADG, BDG, BDE

Answer 1

The correct option is A Triangles ADG, BDG, CDG

In the figure above, all the triangles lie between the same set of parallel lines.
The areas of triangles between 2 parallel lines, and having the same base will be equal.
DG is the base for the triangles, ADG, BDG and CDG.
$\therefore$ The areas of the above triangles, ADG, BDG and CDG are equal, as they have the same common base, DG, and their height is the same which is the distance between the two parallel lines.