This problem looks odd to me.
#Proving Theorems about Triangles
thin eagle
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This problem looks odd to me.
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ornate current
This problem looks odd to me.
It's phrased oddly. I think they mean "prove that the midpoint of XZ is on the median YO"?
thin eagle
I’ll be back around 8:45 appreciate the help
ornate current
I’ll be back around 8:45 appreciate the help
So basically the objective is to prove that all three medians of a triangle intersect at a single point.
thin eagle
So *basically* the objective is to prove that all three medians of a triangle in...
Ohh that make sense! I’m stuck on selecting an answer 🤣🤣🤣
ornate current
It's called the orthocenter, I think.
ornate current
Ohh that make sense! I’m stuck on selecting an answer 🤣🤣🤣
...well, the given reason is "slope intercept form of a line", so just... describe the lines... with slope intercept form.
thin eagle
It's called the orthocenter, I think.
I think it’s called the Centroid maybe
edgy portal
It is the orthocenter
ornate current
I think it’s called the Centroid maybe
You're right. There's like four different "centers" of a triangle, so I got confused.
edgy portal
Nvm no right angle is formed
thin eagle
You're right. There's like four different "centers" of a triangle, so I got conf...
Your good, I’m awful with math so no problem 😉
ornate current
Yeah. The centroid is the intersection of the medians, the orthocenter is the intersection of the altitudes, the incenter is the intersection of the angle bisectors, and the circumcenter is the intersection of the perpendicular bisectors of the sides.
edgy portal
Techie Literate, I have a question similar to this. can you please help me
dusty swallow
you got to do a coordinate proof with two columns 😭
i feel bad for u
i also came here because i was struggling with a centroid existence proof, i didnt like the coord one so i wanted a pure geometry one so i consulted the bible of precollegiate math (AOPS book)
Q: In triangle ABC, medians AD and BE intersect at G, and ray CG intersects AB at F.
a) Prove [ACG]=[GCB]=[AGB], where [] denotes area.
I've done this part, same technique as ||proving all 6 minitriangles have the same area assuming the centroid exists||
b) Use (a) to show that AF=FB
This is the part I'm stuck on
u can try doing this if u dont like the coord proof
glacial sail
Try Cevas Theorem.. with coord geometry it should be easy
dusty swallow
Try Cevas Theorem.. with coord geometry it should be easy
cevas theorem makes it too trivial
and i did the coord proof, just wanted a synthetic geo proof
thin eagle
glacial sail
cevas theorem makes it too trivial
Lol
glacial sail
Sweet.. that looks right
thin eagle
@I hate this math especially because this learning platform messes things up all the time no one proof reads the lessons 🤣 🤣
crimson islandBOT
@thin eagle
thin eagle
+close
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