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Question

How many triangles are there in the given figure.

This question was previously asked in
SSC Stenographer 2025 Question Paper (06-Aug-2025) Shift 2
The correct answer is
10

To determine the total number of triangles in the figure, let’s analyze it step by step. We'll consider smaller divisions and count the triangles formed by them.

Step-by-Step Counting

  1. Identify simple triangles: Look for all smaller, directly visible triangles. For example, in the heart's upper left section, each segment forms a small triangle.
  2. Check for overlapping triangles: This includes combinations of smaller triangles. For example, combining two or more smaller triangles can form a larger triangle.
  3. Count all unique triangles: Ensure no duplicate counting occurs for the overlapping triangles.

Let's identify them specifically in the diagram:

  • In the left section of the heart: Count small triangles and combine them where necessary.
  • In the right section: Identify small triangles within the overlap.

Conclusion

After carefully combining all possible triangles, the total number of triangles in the figure is 10. Therefore, the correct answer is Option D: 10.

Choosing Option D is justified as all possible triangle combinations are accounted for, verifying the logical approach taken in counting.

Heart-shaped diagram divided into triangles
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Important Questions from Figure Counting

  1. How many triangles can be found out from the following figure:

  2. Which symbol will appear on the face opposite to the face of a circle O in the cube given below?

  3. Consider the given statement/s to be true and decide which of the given conclusions/assumptions can definitely be drawn from the given statement.
    Statement:I Some bags are pockets.
    Statement:II No pocket is a pouch.
    Conclusion: I Some bags are not pouches.
    Conclusion: II Some pockets are bags.
  4. How many rectangles can you see in the figure?

  5. Find the number of triangles in the given figure:

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