Answer:
[tex]HE=17[/tex] units.
Step-by-step explanation:
In a triangle, centroid is the intersecting point of the medians.
Centroid divides each of the medians in ratio [tex]2:1[/tex]
So,
[tex]\frac{DH}{HE}=\frac{2}{1} \\\\\frac{DH}{HE}+1=\frac{2}{1}+1\\\\ \frac{DH+HE}{HE} =3\\\\\frac{DE}{HE}=3[/tex]
Put [tex]DE=51[/tex] units
[tex]\frac{51}{HE}=3\\\\HE=\frac{51}{3}[/tex]
[tex]HE=17[/tex] units.
