HomeTestsSearchRankProfile
mediumMCQCompetitive Exam2026Mental Ability
1 mark

In a standard geometric configuration consisting of a large master triangle divided by internal intersecting line cevians from two vertices creating a grid of internal bounded elements, what is the maximum number of distinct embedded triangles contained in such a figure?

image

  1. A
  2. B
  3. C
  4. D

Solution & Step-by-step Explanation

Let us count the triangles systematically by grouping them by the number of individual smaller component regions they contain:
1. Single-region independent triangles: Counting the smallest individual triangular spaces inside the split sections yields small triangles.
2. Double-region combined triangles: Combining pairs of adjacent regions sharing an internal edge gives additional triangles.
3. Triple-region combined triangles: Combining groups of three adjacent structural compartments yields intermediate triangles.
4. Complete outer triangle: The full master triangle itself adds final boundary triangle.

Adding these individual counts together:

Practice this question

Try it yourself before checking the explanation above.

In a standard geometric configuration consisting of a large master triangle divided by internal intersecting line cevians from two vertices creating a grid of internal bounded elements, what is the maximum number of distinct embedded triangles contained in such a figure?

image
A
B
C
D

Share This Question

Related Questions

Ready for a Full Test?

Practice with timed mock tests and track your performance across Mental Ability.

Discussion