Question

Geometry

Answer 1

Your thoughts?

Answer 2

do you know what a centroid is?

Answer 3

No I do not...

Answer 4

@jimthompson5910 I am so lost on this question. And after this I have more coming...

Answer 5

So it turns out that in order for a centroid to be possible, the ratio of AD to DE must be 2:1
In other words, AD must be twice as long as DE. This must apply to the other pieces of the other medians as well.

If we had something like AD = 18 and DE = 9, then point D would be the centroid. The centroid is the intersection of the three medians. In terms of geometry, a median goes from one vertex to the midpoint of the opposite side of a triangle.

Answer 6

Ok, I am following

Answer 7

Based on the drawing you're given, is AD twice as long as DE?

Answer 8

AD is 12 and DE is 4

Answer 9

is 12 twice as much as 4?

Answer 10

In other words, is AD/DE = 12/4 = 2 true?

Answer 11

yes

Answer 12

you sure?

Answer 13

but 4 times 3 is 12

Answer 14

yes

Answer 15

You should find that AD/DE = 12/4 = 3

Answer 16

meaning AD is three times longer than DE

Answer 17

so 3 times as much 4 times 2 is 8

Answer 18

yes

Answer 19

this means the ratio of AD to DE is 3:1

Answer 20

ok

Answer 21

but that doesn't fit the ratio of 2:1 we need

Answer 22

no it dosen't

Answer 23

But dosen't it HAVE to be 2:1

Answer 24

yes, so that's why D cannot possibly be the centroid

Answer 25

Oh ok, so the answer is D

Answer 26

correct

Answer 27

Thank you

Answer 28

You're welcome