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Question
Aria and Grace are learning 2D shapes. Aria draws one figure and asks Grace to find the number of triangles. Help Grace find it.
Aria and Grace are learning 2D shapes. Aria draws one figure and asks Grace to find the number of triangles. Help Grace find it.
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Solution
The correct option is D 20
The given figure is:
The simplest triangles available in the figure are:
ABJ, BCK, KLC, CED, CEF, CFL, LFI, FGI, GHI, KLI, and KIJ. So, there are 11 triangles.
The triangles composed of two components are KCF, KFI, CDF, FHI, CFI, and KCI. So, there are six such traingles.
The triangles composed of four components are KDF and KFH. So, there are two such triangles.
Total triangles = 12 + 6 + 2
= 20
Hence, the total number of triangles in the given figure = 20
The given figure is:
The simplest triangles available in the figure are:
ABJ, BCK, KLC, CED, CEF, CFL, LFI, FGI, GHI, KLI, and KIJ. So, there are 11 triangles.
The triangles composed of two components are KCF, KFI, CDF, FHI, CFI, and KCI. So, there are six such traingles.
The triangles composed of four components are KDF and KFH. So, there are two such triangles.
Total triangles = 12 + 6 + 2
= 20
Hence, the total number of triangles in the given figure = 20
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