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Find the number of straight lines and the number of triangles in the complex figure given below . |
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Answer» Number of straight lines are : AB,BC, CD, DA, AC, BD, EH, AH, DH So there are 9 straight lines in the diagram . Now count triangles : Number of small triangles are (containing one component) AGH, GHD, AFD, DGF, FBE and FCE = 6 Number of triangles with two components: AHF, DHF, AHD, AFD, AFB, DFC , FBC = 7 Number of triangles with four components: ABC, ADC, CDB adn ADB = 4 `therefore` TOTAL number of triangle CONTAINED in the figure= 6+7+4 =17 |
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