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CBSE Class 10 Answered

a regular polygon has 20 sides. how many triangles can be drawn by using the vertices but not using the sides?
Asked by gavhanenisha0310 | 09 May, 2023, 04:10: PM
answered-by-expert Expert Answer
Since a polygon has 20 sides, total number of triangles can be drawn = C presuperscript 20 subscript 3 equals 1140
Using, one side of polygon, number of triangles that can be drawn = 16
Then, for 20 sides, number of triangles that can be drawn = 16 x 20 = 320
 
Using, two side of polygon, number of triangles that can be drawn = 20
 
Therefore, total number of triangles that can be drawn = 1140 - 320 - 20 = 800
Answered by Rashmi Khot | 10 May, 2023, 09:59: AM

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