How many triangles can you count from the given figure?

2017

How many triangles can you count from the given figure?

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Answer: D. 44The correct answer is 44. Brief Counting Approach The figure is a 2 × 2 square grid, and each smaller square contains both diagonals (an “X”). Count triangles…

  1. A.

    36

  2. B.

    38

  3. C.

    26

  4. D.

    44

Attempted by 19 students.

Show answer & explanation

Correct answer: D

The correct answer is 44.

Brief Counting Approach

The figure is a 2 × 2 square grid, and each smaller square contains both diagonals (an “X”).

Count triangles systematically:

Smallest triangles = 16
Triangles formed by combining two smallest triangles = 16
Larger composite triangles within the grid = 8
Largest triangles spanning multiple sections = 4

Total: 16 + 16 + 8 + 4 = 44

Correct Option: D. 44 ✅

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