How many triangles are there in the given figure?
46
The given figure is a large equilateral triangle divided into 4 rows of smaller equilateral triangles. To find the total number of triangles, we count all possible triangles of different sizes and orientations. First, there are 20 smallest (1-unit) triangles — 10 pointing upward and 10 downward. Next, we have 9 medium-sized (2-unit) triangles formed by combining four small triangles — 6 upward and 3 downward. Then, there are 4 larger (3-unit) triangles spanning three rows — 3 upward and 1 downward. One large triangle (4-unit) covers the entire figure. Finally, we consider 12 composite triangles formed by combining smaller triangles in non-standard ways. Adding all these, the total number of triangles in the figure is 46.
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Important Questions from Figure Counting
How many triangles can be found out from the following figure:
Which symbol will appear on the face opposite to the face of a circle O in the cube given below?
- Consider the given statement/s to be true and decide which of the given conclusions/assumptions can definitely be drawn from the given statement.
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Conclusion: II Some pockets are bags. How many squares are there in the given figure?
What is the number of triangles in the following figure?
