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    There is this very lengthy problem which asks for number of figures, specifically parallelograms, in a triangle.



    How in the world can I find the answer using an easier way? Are there any formulas/equations, etc?
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    (Original post by alifleih)
    There is this very lengthy problem which asks for number of figures, specifically parallelograms, in a triangle.



    How in the world can I find the answer using an easier way? Are there any formulas/equations, etc?
    No

    You just have to count them

    Count the small ones then the larger ones - use symmetry if you do not want to count them all
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    (Original post by Laurasaur)
    Well, I think the number of triangles you could fit inside a triangle are infinite, therefore I couldn't really give a formula/equation for it
    :confused::confused:
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    (Original post by TenOfThem)
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    I meant in the context of the question asked that has the answer as 15.
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    (Original post by alifleih)
    There is this very lengthy problem which asks for number of figures, specifically parallelograms, in a triangle.



    How in the world can I find the answer using an easier way? Are there any formulas/equations, etc?
    Firstly, note that your parallelogram has sides parallel to two of the sides of the triangle. Then, choose two sides of the triangle (Base and left is nice and simple) and count the parallelograms with sides parallel to these. Then, you can use the fact that the triangle has symmetry to multiply the number of parallelograms you count here by 3 to get your final answer.
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    (Original post by alifleih)
    I meant in the context of the question asked that has the answer as 15.
    I know

    I answered you in the context of this question
 
 
 
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