SOLUTION: Prove: The area of equilateral triangle XYZ = 1/7 the area of equilateral triangle ABC, where the triangle XYZ is formed by the three segments between the vertices and the one thir

Question 1179630: Prove: The area of equilateral triangle XYZ = 1/7 the area of equilateral triangle ABC, where the triangle XYZ is formed by the three segments between the vertices and the one third of its opposite sides of the triangle ABC.
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

Poor grammar and no discernible relationship between triangles ABC and XYZ.

Re-post so we don't have to guess what the question is.

Answer by ikleyn(52832) (Show Source): You can put this solution on YOUR website!
.

This theorem of Geometry is called "One-seventh area triangle".

It is FAR ABOVE elementary school geometry curriculum.

About this theorem, see these links

https://en.wikipedia.org/wiki/One-seventh_area_triangle

https://en.wikipedia.org/wiki/Routh%27s_theorem

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