Coordinate geometry (1 Viewer)

[kpad5991]

A(6a,6b), B (-6a,-6b), C (0,6c). P, Q and R are midpoints of BC, CA and AB respectively

Find the point where the median through C meets the median through A and show that this point lies on the median through B

 

[Drongoski]

If I am not mistaken, there is a well-known result that says that the intersection of the 3 medians has co-ords:



That point of intersection is known as the centroid of the triangle. If the triangle were a flat triangular plate of uniform density, then the centroid is the centre of mass (used to be called the centre of gravity) of the plate.

To do your question using your high school co-ord geometry, you will have to find the equations of the 3 medians, and find the points of intersection of the appropriate pairs of medians.

 

[disturb_equilibrium]

A(6a,6b), B (-6a,-6b), C (0,6c). P, Q and R are midpoints of BC, CA and AB respectively

Find the point where the median through C meets the median through A and show that this point lies on the median through B

idk man i tried idk if it's right

 

[boredsatan]

Is cordinate geometry easy to grasp?

 

[Drongoski]

Is cordinate geometry easy to grasp?

Yea, extremely!

 

[boredsatan]

Is it easy to grasp for an average maths student?