Question

In BCD, H is the centroid. If DE=51 find HE.

Answer 1

Answer:

$HE=17$ units.

Step-by-step explanation:

In a triangle, centroid is the intersecting point of the medians.

Centroid divides each of the medians in ratio $2:1$

So,

$\frac{DH}{HE}=\frac{2}{1} \\\\\frac{DH}{HE}+1=\frac{2}{1}+1\\\\ \frac{DH+HE}{HE} =3\\\\\frac{DE}{HE}=3$

Put $DE=51$ units

$\frac{51}{HE}=3\\\\HE=\frac{51}{3}$

$HE=17$ units.