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3
questions
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How many obtuse angle triangles are possible in a regular Heptagon by joining its vertices?
I am only able to make one possible case,
Where we take any 3-consecutive vertices, since one of the vertices contains angle of Heptagon, which is approximately 128.57°, we get 7 such triangles.
I am ...
2
votes
1
answer
393
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Number of isoceles triangles formed by the vertices of a polygon that are not equilateral
QUESTION: Let $A_1,A_2,...,A_n$ be the vertices of a regular polygon with $n$ sides. How many of the triangles $△A_iA_jA_k,1 ≤ i < j < k ≤ n,$ are isosceles but not equilateral?
MY APPROACH: ...
23
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4
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How many triangles can be formed by the vertices of a regular polygon of $n$ sides?
How many triangles can be formed by the vertices of a regular polygon of $n$ sides? And how many if no side of the polygon is to be a side of any triangle ?
I have no idea where I should start to ...