Question of the Day #368 (16/11/10)

[Kazza]

I draw a pentagon. Inside the pentagon, I draw a 5 pointed star - each point of the star hits the point of the pentagon.

How many triangles are in the pentagon?


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[Jb40k]

PM sent... :thumbup:

 

[Smersh]

PM sent. Happy Tuesday, everybody!

 

[Taku]

You have been PM'd from inside the Pentagon...:scared:

 

[sxty8goats]

PM sent w/ a colorful add on.

 

[Kazza]

I draw a pentagon. Inside the pentagon, I draw a 5 pointed star - each point of the star hits the point of the pentagon.

How many triangles are in the pentagon?

The answer is 35


NO WINNERS TODAY


Here is how you get 35

1 / 2 / 3 / 4 / 5 / 6 / 7 / 8 / 9 / 10 = 10 triangles
1,2 / 2,3 / 6,4 / 4,1 / 10,7 / 7,6 / 9,8 / 8,10 / 9,5 / 5,3 = 10 triangles
7,0,5 / 4,0,8 / 2,0,7 / 5,0,4 / 8,0,2 = 5 triangles
1,2,3 / 1,4,6 / 6,7,10 / 10,8,9 / 9,5,3 = 5 triangles
2,0,7,8,10 / 4,0,8,5,9 / 7,0,5,2,3, / 8,0,2,4,1 / 5,0,4,7,6 = 5 triangles

Answer: 35 triangles

 

[Taku]

Hmm there might have been a little confusion in the question...

I understood it like this.

View attachment 32268

 

[Smersh]

Here is how you get 35

1 / 2 / 3 / 4 / 5 / 6 / 7 / 8 / 9 / 10 = 10 triangles
1,2 / 2,3 / 6,4 / 4,1 / 10,7 / 7,6 / 9,8 / 8,10 / 9,5 / 5,3 = 10 triangles
7,0,5 / 4,0,8 / 2,0,7 / 5,0,4 / 8,0,2 = 5 triangles
1,2,3 / 1,4,6 / 6,7,10 / 10,8,9 / 9,5,3 = 5 triangles
2,0,7,8,10 / 4,0,8,5,9 / 7,0,5,2,3, / 8,0,2,4,1 / 5,0,4,7,6 = 5 triangles

Answer: 35 triangles

Nice! Totally missed them!

 

[sxty8goats]

The answer is 35


NO WINNERS TODAY


Here is how you get 35

1 / 2 / 3 / 4 / 5 / 6 / 7 / 8 / 9 / 10 = 10 triangles
1,2 / 2,3 / 6,4 / 4,1 / 10,7 / 7,6 / 9,8 / 8,10 / 9,5 / 5,3 = 10 triangles
7,0,5 / 4,0,8 / 2,0,7 / 5,0,4 / 8,0,2 = 5 triangles
1,2,3 / 1,4,6 / 6,7,10 / 10,8,9 / 9,5,3 = 5 triangles
2,0,7,8,10 / 4,0,8,5,9 / 7,0,5,2,3, / 8,0,2,4,1 / 5,0,4,7,6 = 5 triangles

Answer: 35 triangles

Darn it!! I missed the "2,3" but had the "1,2" Triangle. I had 30.. Should have thought about the left right flip...