Question

The medians of are , , and . They meet at a single point .

(In other words, is the centroid of .)
Suppose , , and .
Find the following lengths.
Note that the figure is not drawn to scale.

Answer 1

#VS

We know that medians bisect eachother at 2:1 at centroid

Vs be x

#VU

VU be x

#PT

PT=16+8=24

Explanation:

Answer 2

#VS

• We know that medians bisect eachother at 2:1 at centroid

Vs be x

`\\ \tt\hookrightarrow 18:x=2:1`

`\\ \tt\hookrightarrow 2x=18`

`\\ \tt\hookrightarrow x=9`

#VU

• VU be x

`\\ \tt\hookrightarrow (39)/(3)=x=13`

#PT

`\\ \tt\hookrightarrow VT=16/2=8`

• PT=16+8=24