Question
Download Solution PDFFind out the number of triangles in the figure.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe number of triangles in the given figure is shown below :
1) [Number of parts × (1 + Number of parts)] ÷ 2 = Total triangles
= [2 × (1 + 2)] ÷ 2
= [2 × 3] ÷ 2
= 6 ÷ 2
= 3
2) [Number of parts × (1 + Number of parts)] ÷ 2 = Total triangles
= [4 × (1 + 4)] ÷ 2
= [4 × 5] ÷ 2
= 20 ÷ 2
= 10
3) [Number of parts × (1 + Number of parts)] ÷ 2 = Total triangles
= [2 × (1 + 2)] ÷ 2
= [2 × 3] ÷ 2
= 6 ÷ 2
= 3
4) Number of parts × Number of diagonals = Total triangles
= 8 × 2
= 16
5) Number of triangles = 4
6) Number of triangles = 6
7) Number of triangles = 5
8) Number of triangles = 7
9) Number of triangles = (1 + 1 + 2 + 2) = 6
Here, as marked there are a total of (3 + 10 + 3 + 16 + 4 + 6 + 5 + 7 + 6) = 60 triangles.
Hence, "60" is the correct answer.
Last updated on Jun 11, 2025
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