ABC is a triangle with medians AM, BN, and CP intersecting at O. If CO=4x and OP=x+1, find the value of x.?

Answer 1

The medians intersect at a point 2/3 of the way fro the vertex to the middpoint of the opposite side.

So 4x = 2(x+1)
4x = 2x+2
2x=2
x=1

Answer 2

connect AO and bring it to fulfill BC in M. Then AM is likewise the 0.33 median. Now AM:OM = 3:a million. So triangleABM : triangleBOM = a million:3 and triangleACM :triangleCOM = a million:3If you upload Nrs and Deno.s, you get, triangleABC" BOM = 2:6 = a million:3 So (a) is genuine.