The total number of triangles present in the above figure is 20
Number of Triangle are ABG, AJC, EFD, DIB, AIH, EIJ, BJF, CFG, DGH, JFG, IJG, HJG, IOH, IOJ, IOG, HOG.
Total: 19
Total Number of triangles:
From the Vertex A: ABC, AJF, AKE, ALD
From the Vertex B: BIJ, BHK, BGL
From the Vertex C: CGF, CHE, CID
In quad BJFC: there are 7 small triangles
In quad KEJF: there are 4 Small triangles
In quad KELD: there are three triangles
Total triangles 24.
Option A
Number of triangles are ABC, ADC, ADB, BDC, DOC, COB, BOA, AOD, DOE, EOC, AOF, FOB, DOG, COH, AOG, BOH.
Total: 16
No. of Straight lines: AB, BC, CA, AD, AE, GD, GC, DF = 8
No. of Triangles: ABC, ABD, ADE, AEC, ABE, ADC, AGC, BGC, BGD, DGC, GDH, HDI, GDI, DIE, IEC, DIC, AIC, AIJ, JIC, AGI, AGH, AHI = 22
TOTAL NUMBER OF QUADRILATERALS = 17
There are total 24 triangles. The way to count the triangles of the figure is to draw the figure and count.
As per given figure, Please check the below number and count the triangles .
The above figure contains 4 boxes were two are similar. This particular box contains 8 triangles and 1 square, as there are two boxes which are same, then there are total 16 triangles and 2 squares.
The above figure contains :: (16 triangles and 3 squares) x 2 = 32 triangles and 6 squares.
Total triangles = 48 and total squares = 8
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