Anonymous asked in Science & MathematicsMathematics · 1 month ago

Geometry Problem?

There is a point inside a regular hexagon. It forms six triangles with the vertices.

The area of the green triangle is of the form a/b, where a and b are co-prime. The numbers inside the triangles represent the areas. Find a + b..

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1 Answer

  • 1 month ago
    Favourite answer

    Using the information/ideas in the link:

    The total area of the 3 red triangles is half the hexagon’s area (A).

    A = 2*(3+5+8) = 32

    A pair of opposite triangles has area A/3.  Call the green triangle’s area G:

    G + 8 = 32/3

    G =  8/3

    So a=8, b=3 and a+b =11

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