Question

In △ABC, GF = 17 in.
What is the length of CF¯?

Answer 1

@amorfide

Answer 2

Thanks bro

Answer 3

The centroid of a triangle divides the medians into a 2:1 ratio
In other words, the length of the median from the vertex to the centroid is 2/3 of its total length.


so let's take the Median, CF
From the vertex C to the centroid (the point it intersects with the other two medians) is 2/3 of the total length

CF is made up of CG + GF
since CG is 2/3 of the total length, GF is 1/3 of the total length
we know GF=17in

1/3 CF=17

we want 2/3

so we multiply by 2

2x17=34
therefore, CG is 34

so the total length of CF is

CG+GF=34+17=51

Answer 4

what about this ?

Answer 5

LO is 2/3 of the length of LN
LO=104

so work out what 1/3

Answer 6

how

Answer 7

if you know that 2/3 LN=104
then rearrange for LN

this gives your total length of LN, then you will subtract one from the other, LN - LO

Answer 8

so in your case, a/b=2/3