Question

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

Answer 1

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?

Answer 2

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

Answer 3

help me sir

Answer 4

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

Answer 5

yups

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

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

Answer 10

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

Answer 11

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

Answer 12

1250pm yeah :)

Answer 13

which country u live in sir.....

Answer 14

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

Answer 15

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

Answer 16

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

Answer 17

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

Answer 18

so where is the proof

Answer 19

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

Answer 20

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?

Answer 21

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

Answer 22

i agree......

Answer 23

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

Answer 24

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