Question

In △ABC, CH=33 ft. What is the length of CX¯¯¯¯¯¯ ? Enter your answer in the box.

Answer 1

CH = 33
CX = 2/3(CH)
CX = 2/3(33)
CX = 22

answer
CX = 22 ft

Hope it helps

Answer 2

we know that

The centroid is the point where all three medians intersect and divides each median in a ratio of
`2:1`. Is described as the triangle's center of gravity.

In this problem

C-H, B-G and A-F ------> are medians

The point X is the centroid of the triangle ABC

so

`CX=(2)/(3)CH`

we have

`CH=33\ ft`

substitute

`CX=(2)/(3)(33)=22\ ft`

therefore

the answer is

`CX=22\ ft`