GRE Practice Question 1 – Geometry
Try this GRE geometry question [Difficulty level – Hard]
In the figure above, what is the area of triangle BCD given that the area of triangle ADE is 16 & the area of triangle CDE is 12?
E) Cannot be determined
Here is the solution:
Correct answer is D.
We know that the area of a triangle is 0.5*b*h where h is the perpendicular height between the base and the vertex opposite to the base. By this logic:
Area of triangle ACD = Area of triangle BCD. This is because the base, CD, for both the triangles is the same. Moreover the perpendicular is also same for both the triangles and it is equal to AD.
Therefore area of BCD = 28.