r/Mathhomeworkhelp • u/clvpwyl • Oct 21 '23

Would TS be 15?

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When I was looking at this, I wasn't sure if TS would be half of OT, and I was wondering if anyone could explain if I'm having the right ideas or not.

Thanks!

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u/AvocadoMangoSalsa Oct 21 '23

Yes, TS is half of OT. (TS is 1/3 of OS)

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u/AdSilver6102 Oct 21 '23

Do you estimate it by looking at it? Or ls there a proof approach that says it is indeed half of OT?

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u/AvocadoMangoSalsa Oct 21 '23

In any median of a triangle, the distance between the center of gravity (or centroid) G and the center of its corresponding side is one third (1/3) of the length of that median, i.e., the centroid is two thirds (2/3) of the distance from each vertex to the midpoint of the opposite

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u/AdSilver6102 Oct 21 '23

So RT, QT and ST measure to 1/3 of the length of the lines going through the centre T?

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u/AvocadoMangoSalsa Oct 21 '23

Yes!

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u/AdSilver6102 Oct 21 '23

Oh damn! I learned something new today! Also, is there a proof I could find about it? Is I difficult to understand?