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Question

Find the number of triangles in the given figure.

The correct answer is
10

To determine the total number of triangles in the given figure, we need to carefully count all possible triangles formed by the intersecting lines.

  1. Identify all small triangles formed by the intersection of lines within segments:
    • Small triangles are those that are directly visible without any further subdivisions within them.
  2. Count larger triangles that are formed by combining smaller triangles:
    • Analyze the connections between intersection points and select combinations that form bigger triangles.
  3. Add all counted triangles.

Upon analyzing the figure:

  • Small Triangles: We can identify around 6 smaller triangles formed directly by the lines.
  • Larger Triangles (combinations): On careful observation, 4 more triangles can be formed by combining two or more small triangles.

Thus, the total number of triangles = 6 (small) + 4 (larger combinations) = 10 triangles.

Conclusion: The number of triangles in the given figure is 10.

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Important Questions from Counting Figure (Notes)

  1. Find the number of triangles in the given figure

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

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

  4. In the following question, select the figure which can be placed at the sign of question mark (?) from the given alternatives.

  5. In the following question, select the figure which can be placed at the sign of question mark (?) from the given alternatives.

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