Question

In △ABC, CH=33 ft.



What is the length of CX ?

Enter your answer in the box.


= ft

Answer 1

Hello there! Your answer is 22

Answer 2

Answer:

CX = 11 ft.

Step-by-step explanation:

The image is showing a triangle with its three medians. The point X represents the centroid of the triangle, because it's the intersection of all three medians.

There's a theorem about medians of a triangle that allow us to say that

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

We already know that

$HC = CH = 33$

Replaing this value, we have

$CX=\frac{2}{3}33=2(11)=22$

Then, by sum of segments, we have

$CH=CX+HX$

Replacing values, we have

$33=22+HX\\HX=33-22=11$

Therefore, CX measures 22 feet and HX measures 11 feet.