prove that the centroid of a scalene triangle divides the line joining orthocenter and circumcenter in the ratio 2:1

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- amistre64

well, i know what the centroid of a triangle is, it is the center where the lines from the angles to their opposite side midpoints all meet... scalene sounds familiar, like congruent triangles are scalene right?

- anonymous

.........so what?????

- anonymous

help me sir

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- amistre64

scalene triangle is one with no equal sides; like 3-4-5...if I recall correctly

- anonymous

yups

- amistre64

just gotta recap my definitions of these things :) was never to keen on vocabulary

- amistre64

orthocenter... I was thinking centroid as in this pic

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- amistre64

ok...circumcenter is the perpendiculars that are from the mid poits of each side;
orthocenter is the perpendiculars that drop from each angle.. got that much so far :) so let me draw a scalene with both properties and see if the resuls match this question

- anonymous

jas cant get ur thinking.............take ur tym .... i m w8ng

- anonymous

its 12:38 p.m. at ur side.?????

- anonymous

r u dere.........????

- amistre64

1250pm yeah :)

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- anonymous

which country u live in sir.....

- amistre64

You wrote: "prove that the centroid of a scalene triangle divides the line joining orthocenter and circumcenter in the ratio 2:1"
this is a picture of a scalene, with orthos and circums included in it..
just need to include the "centroid" part to determine the veracity of the "proof".
country? USA...state? florida

- anonymous

so ........where is the proof....????

- amistre64

we have the picture, now we can add number to it to determine the proof..right?

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- anonymous

well how did u create the picture so neatly........??????any software

- anonymous

so where is the proof

- amistre64

I used the generic "paint" program in windows :)

- amistre64

they want to know if the purple line that connects the points that make up the ortho and the circum is intersected by a ratio of 2:1 by the point that is created from the centroid. Do you agree with my assessment so far?

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- amistre64

we need to determine angles, and measurements in order to "prove" the statement. which will take me about 30mins or so :)

- anonymous

i agree......

- anonymous

goin 2 facebuk.......take ur tym.......

- amistre64

so far I got this much :) There is no restrictions to scalenes so a right scalene should have the same property. I used a 3-4-5 right triangle

- amistre64

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