+566 hi, I am a little stuck on this question. It's pretty hard (for me at least) so, i hope you can help!
G is the centroid of triangle ABC. G_1,G_2, and G_3 are the centroids of triangle BCG, triangle CAG, and triangle ABG respectively. What is [G_1G_2G_3] / [ABC]?
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Thanks in advance for whoever helps! :)
+118608 I am more than a little stuck myself.
I have drawn the pic. I hope the link works properly (let me know)
https://www.geogebra.org/classic/fhkhhxuf
You can drag the points around to make any triangle you want.
It is visually clear that the 2 triangles are similar.
The second is reduced about the point G and is then reflected
This can clearly be seen in the pic below.
+566 Hi Melody!
thank you so much for your response!
the link does work (thankfully) and I tried to play around, but I was still stuck.
However, I seemed to find this, https://web2.0calc.com/questions/triangle-medians-and-altitudes#r7
tiggsy explained pretty well, and after reading it a few times I understood pretty much.
I pretty much saw that the ratio would be 1/6
To tiggsy and melody, thank you!
Have a wonderful day!
+118608 I have looked at Tiggsy's solution and I have a query.
If anyone knowledgeable wants to answer me that would be good.
https://web2.0calc.com/questions/triangle-medians-and-altitudes#r11
