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

$CX=\frac{2}{3}CH$

we have

$CH=33\ ft$

substitute

$CX=\frac{2}{3}(33)=22\ ft$

therefore

the answer is

$CX=22\ ft$