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

Algebra ->  Geometry-proofs -> 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      Log On


   

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) About Me  (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) About Me  (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