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# 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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- Steve4PhysicsLv 71 month agoFavourite 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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