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tankabanditka [31]
3 years ago
6

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

Mathematics
1 answer:
jeyben [28]3 years ago
5 0

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.

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