Answer:
TX measures 40 inches.
Step-by-step explanation:
The interception point is a barycenter, because it's being formed by the medians of the triangle. We deduct that those three lines are medians because they divide each side in half.
So, from the interception of these three medians we deduct:
[tex]TX=2XV[/tex]
[tex]XV=\frac{TX}{2}[/tex]
But, we know [tex]VT=60[/tex].
Also, by sum of segments: [tex]VT=TX+XV[/tex]
[tex]60=TX+\frac{TX}{2}\\60=\frac{2TX+TX}{2} \\\frac{3TX}{2}=60\\TX=\frac{120}{3}=40[/tex]
Therefore, TX measures 40 inches.
