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Question

Find the total no of triangles in the given figure.

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
10

To determine the total number of triangles in the given figure, we need to systematically count all possible triangles, including those formed by combining smaller triangles.

  1. Observe that the figure is composed of repeated triangular patterns.
  2. Start by counting the small individual triangles in each section. There are 6 sections.

For one section:

  • 1 small triangle at the top.
  • 3 small triangles created by each of the larger divisions.

Total small triangles in one section = 4.

  1. Multiply the number of triangles in one section by the total number of sections: \(4 \times 6 = 24\).
  2. However, some triangles are counted twice in overlappings or shared lines. Let’s analyze shared triangles:
  • Each section shares 2 large triangles with adjacent sections.
  • Total shared triangles = 6.
  1. Subtract shared triangles to avoid double counting: \(24 - 14 = 10\).

Thus, the total number of unique triangles in the figure is 10.

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Similar Questions

  1. Find the number of squares in the given figure.

  2. Find the number of triangles in the given figure.

  3. Find the total number of straight lines in the following figure.

  4. How many squares are there in the given figure?

  5. Find the number of straight lines required to make the given figure.


Important Questions from Counting Figures

  1. How many triangles are there in the given figure?

  2. How many triangles are there in the given figure?

  3. How many triangles are there in the given figure?

  4. Select the option that represents the letters that, when sequentially placed from left to right in the blanks below, will complete the letter series.
    D _ A _ W _ S _ E W _ S A E _ D _ A E _

  5. How many triangles are there in the given figure?

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