We have a regular octagon ABCDEFGH. Point P is inside the octagon. Show that the sum of the areas of the ABP, CDP EFP, GHP triangles are equal to the sum of the areas of the BCP, DEP, FGP, HAP triangles.

I just have no idea how to start, and this a bonus question, so we wont see the solution of it in the lesson, but I am really interested in this problem and want to see how to solve something like this.

Ideas on how to approach this exercise are welcome, or just some facts that I could use to solve this problem.

I just have no idea how to start, and this a bonus question, so we wont see the solution of it in the lesson, but I am really interested in this problem and want to see how to solve something like this.

Ideas on how to approach this exercise are welcome, or just some facts that I could use to solve this problem.

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