Question

In Triangle CDF, K is the centroid & DK = 16. Find CD.

a. 12
b. 18
c. 16
d. 14

Answer 1

@Lunalovegood Do you know what's a centroid?

Answer 2

the center?

Answer 3

Yes, for a triangle it's the intersection of the medians.

Answer 4

ok, would it be b

Answer 5

how did you find?

Answer 6

well since DK=16, and CD looks longer i thought it would be 18

Answer 7

ha ha :D
But we need to find it. Let's work

Answer 8

ok

Answer 9

Just wait for some time. I'm thinking about it

Answer 10

ok

Answer 11

hint : CD = 2*GD

Answer 12

with just DK i think we cant find CD ...

Answer 13

I was overlooking this. Thanks @ganeshie8
@Lunalovegood Do you get this?

Answer 14

yes

Answer 15

so was i right?

Answer 16

about thinking it was b

Answer 17

You are correct. Since the bisector divides the line in two. CD is twice GD.

Answer 18

triangle CDF and GDF are congruent....