Question
Download Solution PDFHow many triangles are there in the following figure?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe Correct answer is Option 1.
Key Points
Identify the small “inner” triangles:
There are 6 small triangles formed directly by the intersecting lines.
Combine small triangles to form larger ones:
You can form 3 “medium” triangles by joining pairs of those small triangles.
You can form 2 more “medium” triangles by joining three small triangles at once.
Include the outermost triangle: The large boundary triangle itself counts as 1 more.
When you add them all up:
6 (small) + 3 (medium, using 2 small ) + 2 (medium, using 3 small ) + 1 (largest outer triangle) = 12 Triangles
Hence Correct answer is Option 1.
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