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Question
Jennifer wants to find the number of triangles in a shape drawn on the board. Help her find the total number of triangles.
Jennifer wants to find the number of triangles in a shape drawn on the board. Help her find the total number of triangles.
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Solution
The correct option is C 22
Given:
Let us find the simple triangles first.
The simple triangles are AHJ, JHB, BFK, KFC, CIL, LID, DGM, MGA, DIE, DGE, EFB, and EHB. So, there are 12 simple triangles in the figure.
The triangles composed of two components each are ABJ, BKC, CDL, JBE, EBK, EDM, DEL, and ADM. So, there are 8 such triangles.
The triangles composed of three components each are DAB and DCB. So, there are 2 such triangles.
∴ Total number of triangles in the given figure = 12 + 8 + 2 = 22
Given:
Let us find the simple triangles first.
The simple triangles are AHJ, JHB, BFK, KFC, CIL, LID, DGM, MGA, DIE, DGE, EFB, and EHB. So, there are 12 simple triangles in the figure.
The triangles composed of two components each are ABJ, BKC, CDL, JBE, EBK, EDM, DEL, and ADM. So, there are 8 such triangles.
The triangles composed of three components each are DAB and DCB. So, there are 2 such triangles.
∴ Total number of triangles in the given figure = 12 + 8 + 2 = 22
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