CAT 2003 - Retake — QA Question 21
HexagonEasy
Let ABCDEF be a regular hexagon. What is the ratio of the area of the triangle ACE to that of the hexagon ABCDEF?
Answer & solution
Correct answer: 1 2
- A
- C
- D
Solution
ABCDEF is a regular hexagon, join centre O with vertices A, C and E.
In quadrilateral AFEO, diagonal EA divides it into two equal area triangles.
i.e. Area (∆AFE) = Area (∆AOE)
Similarly, Area (∆ABC) = Area (∆AOC)
And, Area (∆CDE) = Area (∆COE)
Hence, option (b).