How many triangles are there in the given figure?

2016

How many triangles are there in the given figure?

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Answer: A. 23 or more1. Count the smallest, individual triangular regions first: There are 5 in the top rectangular section, 5 in the middle section, and 2 in the bottom pointed…

  1. A.

    23 or more

  2. B.

    20

  3. C.

    16

  4. D.

    12

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Correct answer: A

1. Count the smallest, individual triangular regions first: There are 5 in the top rectangular section, 5 in the middle section, and 2 in the bottom pointed tip, giving 12 basic triangles. 2. Next, look for triangles formed by combining 2 or more smaller regions. The entire bottom tip forms 1 large triangle. 3. Trace the longer continuous straight lines to find large overlapping triangles. For example, the diagonals create 4 large triangles spanning across the middle horizontal line, and 4 large right-angled triangles in the outer corners of the rectangular portion. 4. Adding the 12 base triangles to the numerous larger combined geometric shapes (12 + 1 + 4 + 4 + ...) quickly pushes the total count to 23 or more. Final Answer: Option A

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