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

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

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

Mathematics
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

Ewwww geometry. That is all.
cant apply anythng here.........
The Euler Line of the triangle starts at the circumcenter, goes through the centroid, to the orthocenter... It's a start.

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

Lol at that being a start..
wtf........jas cant read ur minds
It's apparently a purely geometric proof. http://planetmath.org/encyclopedia/EulerLineProof.html
You thought it was going to be something other than geometric...?
I was hopeful...
1 Attachment
If I had formulas for centroid, orthocenter, and circumcenter of a scalene triangle based upon the vertexes, I could in theory show the ratio of the distances is always 1/2.
No, you couldn't. Regardless of whether it is possible, YOU couldn't do it.
Ouch...
You're welcome.
I didn't see the need to be degrading. I am simply here to try to help.
Just joshin', no need to call a wambulance :(
this is what I have so far, since there is no restrictions to define a scalene other than different angles/side lenths...a right scalene should prove it just as well.... i used the 3-4-5
1 Attachment
if I could prove that the line bisects the hypot at a right angle, its solved lol
Unfortunately, I think proof need to be more general than 'it works for a RA with these sides => it works for all' But I hate geometry, so meh.
feeling sleepy....c u guys later
thats true, proofs need to be more rigorous, but I aint to good with that part ;)
I am. When there's no drawing involved.
I get congruent triangles like this..... but is there a theorum which states that the apex of a triangle within an rectangle has a ratio of sides equal to the distance between the 2 top corners?
1 Attachment
Since we have 2 congruent triangles with equal angles A and B, then the ration of 50/3 sinB would match 25/3 sinB to be true.
got it!!
1 Attachment

Not the answer you are looking for?

Search for more explanations.

Ask your own question