A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
The median of a triangle is a vector from a vertex to the midpoint of the opposite side.
Show the sum of the medians of a triangle = 0.
Answer: The median of side AB is the vector from vertex C to the midpoint of AB. Label
this midpoint as P. As usual we write P for the origin vector
−−→
OP.
−−→
CP =
1
2
(A + B)
1
The midpoint P = ⇒ (B + A) − C.
2
Likewise:
−−→
BQ = (A + C) − B and
−−→
AR =
1
2
1
2
(B + C)
anonymous
 3 years ago
The median of a triangle is a vector from a vertex to the midpoint of the opposite side. Show the sum of the medians of a triangle = 0. Answer: The median of side AB is the vector from vertex C to the midpoint of AB. Label this midpoint as P. As usual we write P for the origin vector −−→ OP. −−→ CP = 1 2 (A + B) 1 The midpoint P = ⇒ (B + A) − C. 2 Likewise: −−→ BQ = (A + C) − B and −−→ AR = 1 2 1 2 (B + C)

This Question is Closed

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Why is it c and not +c?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Geometrically I do not see what is happening when we subtract that
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.