Find the total number of triangles in the following figure.
To find the total number of triangles in the given figure, we need to carefully examine and count the different triangles of various sizes within the composite figure.
Let's break it down step-by-step:
Consider the smallest triangles formed in each segment or section of the figure. Each side of the inner diamond has 2 small triangles sharing a side.
Count the larger triangles that are comprised of two of these smaller triangles.
Now, look for triangles that are comprised of bigger sections combining several small and medium triangles.
Lastly, look for the largest triangle possible which spans the outer bounds of the figure.
Total count:
- Small triangles: 8
- Medium triangles (formed by combining two small ones): 4
- Larger triangles (formed by combining small and medium ones): 4
Adding them up gives a total of \(8 + 4 + 4 = 16\) triangles.
Therefore, the correct answer is 16.
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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.
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. How many rectangles can you see in the figure?
Find the number of triangles in the given figure:
