## vanihba 3 years ago Consider a regular decagon(equal 10 sided polygon), by joining the vertices, find the maximum no. of triangles that can be drawn, whose no side is a side of the decagon....?

1. UnkleRhaukus

|dw:1339588252672:dw|

2. UnkleRhaukus

|dw:1339588351191:dw|

3. UnkleRhaukus

|dw:1339588513946:dw|

4. Ishaan94

10 sides can serve as 10 bases for the triangle. Each base implies two points.$10\cdot \binom{8}{1}$?

5. Ishaan94

$\binom{10}{3}$I just read the triangle can't have common side with the polygon

6. vanihba

yup 10c3

7. Ishaan94

Thank you.