Proving median of a triangle

[Angelbts]

Okay so I have this really hard problem and I need help.

In a orthonormal plan (o;u;v) A is a point of affix 1 and B is the point as OAB is a direct triangle.
∆ is a line that cuts [OB] in E; [AB] in F and [OA) in C as [FB][/FA]=[2EB][/EO]=[2][/3]

Prove the line (AB) is part of the median of he triangle OBC?

PS. Please answer me with any possible answer also the schema is approximative it can't be drawn easily.

 

[Deleted member 4993]

Okay so I have this really hard problem and I need help.

In a orthonormal plan (o;u;v) A is a point of affix 1 and B is the point as OAB is a direct triangle.
∆ is a line that cuts [OB] in E; [AB] in F and [OA) in C as [FB][/FA]=[2EB][/EO]=[2][/3]

Prove the line (AB) is part of the median of he triangle OBC?

PS. Please answer me with any possible answer also the schema is approximative it can't be drawn easily.

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

https://www.freemathhelp.com/forum/threads/read-before-posting.109846/#post-486520

Please share your work/thoughts about this assignment.

 

[Dr.Peterson]

Okay so I have this really hard problem and I need help.

In a orthonormal plan (o;u;v) A is a point of affix 1 and B is the point as OAB is a direct triangle.
∆ is a line that cuts [OB] in E; [AB] in F and [OA) in C as [FB][/FA]=[2EB][/EO]=[2][/3]

Prove the line (AB) is part of the median of he triangle OBC?

PS. Please answer me with any possible answer also the schema is approximative it can't be drawn easily.

Please define your terms and notation. I think you have mistranslated some parts and miscopied others. I think "plan" should be "plane", "direct" should be "right", and you put "/" in the wrong places. And I think [AB] means the segment AB, while [OA) means the ray from O through A. I don't know what "point of affix 1" means.

Here is a picture:

Please correct me if I'm wrong.

Now, please tell us what you have tried, and particularly what methods you are learning so we can try to suggest ways to prove this that will work for you. I can think of several ways; the mention of an "orthonormal plane" suggests that either coordinates or vectors might be suitable. It's easy enough either way.