@Khan Academy, can please post a video where you present the shortcut that you used for polynomial addition at 8:10? I was always told many years ago in school that you had to distribute first then add like terms. However, if one of the factors are the same it appears that there is a shortcut. You can just treat the other factors as coefficients and just add/subtract them.
Very nice. That green segment that goes from the vertex at the top through the centroid to the side at the bottom is identified as a median. While you came very close to proving that it is the third median, I don't think you quite proved that the midpoint of the side on the bottom is on that segment. That can easily be done using those similar triangles at the end and showing that (a-b)/3 is 2/3 of the distance from the origin to the midline which is (a-b)/2.
I kind of dislike gradient way. I rather choose Cosinus formulas!! You Can draw 4 Equal Small identic Triangles. By connecting lines from middle points of each side. Center Small Triangle is UpSide Down, But it's identical! Next.... You Figure it out^ ∆ 😉
GREAT INSTRUCTION!!!! THANK YOU!!!!
Sal, you are the greatest!
There is a much easier proof, just draw two medians and then a parallel line between those two. Because of conguency the ratio has to be 2:1.
lol
@Khan Academy, can please post a video where you present the shortcut that you used for polynomial addition at 8:10? I was always told many years ago in school that you had to distribute first then add like terms. However, if one of the factors are the same it appears that there is a shortcut. You can just treat the other factors as coefficients and just add/subtract them.
Very nice. That green segment that goes from the vertex at the top through the centroid to the side at the bottom is identified as a median. While you came very close to proving that it is the third median, I don't think you quite proved that the midpoint of the side on the bottom is on that segment. That can easily be done using those similar triangles at the end and showing that (a-b)/3 is 2/3 of the distance from the origin to the midline which is (a-b)/2.
can you use the midpoint formula to prove that.
no
this is easy
The median rules naturally echo the laws of TRIangle: a median=3 sections=1 short + 2 long.
I kind of dislike gradient way.
I rather choose Cosinus formulas!!
You Can draw 4 Equal Small identic Triangles.
By connecting lines from middle points of each side.
Center Small Triangle is UpSide Down, But it's identical!
Next.... You Figure it out^ ∆ 😉
can you please use white board instead
i love proofs x)
you are not human
The subtitle doesnt match!
But thank for the useful video anyway!
how?
Shit..i wanted centroid proof.... wasted my 15 mins....i am reporting you
Lmao