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

In BCD H Is The Centroid If DE51 Find HE class=

Sagot :

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.

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