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Question

How many triangles are there in the given figure?

This question was previously asked in
SSC CHSL 2025 Tier 1 Question Paper (21-Nov-2025) (Shift 1)
The correct answer is

10

To find the total number of triangles in the given figure, we need to methodically identify and count all possible triangle shapes. Let's break it down:

  1. Identify the smaller triangles:
    • There are \(4\) small triangles in the bottom right.
    • There is \(1\) small triangle at the top (formed directly by the diagonal cutting from one corner to the center).
  2. Identify medium-sized triangles:
    • There are \(2\) medium triangles formed on the left and right sides, using the outer lines of the figure.
  3. Identify larger triangles that might be combinations of smaller triangles:
    • There are \(3\) larger triangles that can be formed by joining two or more smaller triangles. These are formed by taking combinations of daily slicing of figure and its parts.

This gives us a total of: \(4 \text{ (small)} + 1 \text{ (medium top)} + 2 \text{ (side medium)} + 3 \text{ (large combinations)} = 10\)

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

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Important Questions from Counting Figures

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  2. Find the number of squares in the given figure. ( Rectangles NOT to be included ).

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