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Question

Count the number of straight lines and triangles in the following figure ?
309441_43707672a831427e9192794a07900818.png

A
10 straight lines and 34 triangles
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B
9 straight lines and 34 triangles
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C
9 straight lines and 36 triangles
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D
10 straight lines and 36 triangles
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Solution

The correct option is C 9 straight lines and 36 triangles

Possible straight lines :
1. AC, 2. AG, 3. CG, 4. CH, 5. GB, 6. HB, 7. BD 8. HF,9. AE

Possible triangles are :
1. ABI, 2. AIH, 3. HIJ, 4.IBJ, 5. BJK, 6. BCK, 7. HJL, 8. HLG,9. FGL, 10. CDK, 11.ABH, 12. BJH, 13.AJH,
14.ABJ, 15. HJG, 16. HFG, 17. BCJ, 18. BCD, 19. GJE, 20. CEJ,21.AJG, 22. AEG, 23. ACJ, 24. ACE, 25. BOG, 26. BGH, 27. BLH, 28. BCG, 29. BCH, 30. HCG, 31. HCF, 32. HAC, 33. CGJ, 34. ABG, 35. BHK, 36. ACG

480238_309441_ans_bb6b773a9cd045428d27c853a32ff1b2.png

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