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Ask iit jee aieee pet cbse icse state board community Discussion Response Post to: how to find the no. of triangles formed by an n-gon if one side is common
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karthik_karthik9920 (216)

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Olaaa!! Perrrfect answer. 34  [57 rates]

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hey itz easy..coz..i no it..c ..1st...1 side common..means..of n points 2 pts gone ..bt only 1 side common so remaining 2 adjacent pts also gone..so remaining n-4pts..rite....so for every side u can get n-4 pts..total sides is n...so total no. or triangles is..[n][n-4]....

on similar lines u can do for to adjacent sides....wen u select ny2 adjacent sides..ur triangle becomes unique..i.e.after selecting 2 sides only 1 triangle is possible...total no of ways u can select 2 adjacent sides is......gues!!!! it is n......can do lik tis...12 23 34 45 56 67 78 89 910 .....[n-1 n][n 1]...got it....

ans 1.....[n][n-4]
ans 2 n



so if u understood plz..rate me....bye!!!!!!!!
 this reply: 2 points  (with Olaaa!! Perrrfect answer.   in 1 votes )   [?]
 
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