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

In BCD, H is the centroid. If DE=51 find HE.-example-1
User Userxxx
by
5.8k points

1 Answer

7 votes

Answer:


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.

User Rgngl
by
5.3k points
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