Question

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

Answer 1

`HE=17` units.

Explanation:

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

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

So,

`(DH)/(HE)=(2)/(1) \\\\(DH)/(HE)+1=(2)/(1)+1\\\\ (DH+HE)/(HE) =3\\\\(DE)/(HE)=3`

Put
`DE=51` units

`(51)/(HE)=3\\\\HE=(51)/(3)`

`HE=17` units.