Question
Download Solution PDFHow many triangles are there in the given figure?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven Figure:
Now,
Counting the figure separately:
1. Counting the numbers of triangles.
The above figure has three triangles. There are three similar figures in the given figure.
So, the below figure has a triangle
3 × 3 = 9
Now, after completing the figures as per the question we will count the number of triangles that are made on the edges and a Merging triangle as shown below:
There are 4 triangles on the edges as shown above and Two triangles that are TriAOB and TriCOD which are merging triangle.
So, we can say number of traingle = 4 + 2 = 6.
There are two more small similar triangles
so triangle in these will be
3 × 2 = 6
Thus, the total no of triangle = 9 + 6 + 6 = 21
Hence, the correct answer is "21".
Last updated on Jun 23, 2025
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