Question

If I is the centroid of triangle FGH and GI = 2.8 cm, calculate the length of line GK.

Answer 1

Please show work :D thanks...

Answer 2

no more parameters ?

Answer 3

No, thats all the information they allow

Answer 4

Any ideas guys? I'm completely stumped...

Answer 5

I'm thinking about it, it has to due with symmetry I'm pretty sure GI and HI have to be the same length due to them both being medians but i can't find the postulate that says this so I'm unsure about making it as my first assumption

Answer 6

Thats exactly what I thought too, but its not one of the answers I have
A. 5.6 cm
B. 4.2 cm
C. 1.87 cm
D. 1.4 cm

Answer 7

Those are what my course allows, and its not A

Answer 8

well its asking for GK so you would have to use trig to find the other sides and eventually get to find KI then add it to GI

Answer 9

I guess so, the appendix claims that the answer is B

Answer 10

Would it be take half of one side and add it to the other? Sort of like 1.4 +2.8?

Answer 11

ill get it give me like 5 to look up postulate to make sure i can make that assumption

Answer 12

Cooleo, :D

Answer 13

hold on there was a mistake et me rewrite

Answer 14

basically you are making 30-60-90 triangles out of the smaller triangles. Unfortunately, i can find the postulate that states this but if we work backwards knowing that the length of KI=1.4. there fore sin(theta)=1.4/2.8 which can be simplified to

sin(theta)=0.5

theta=sine^-1(0.5)

theta =30 degrees

Answer 15

sorry thats the best i got ha ha

Answer 16

Thanks for everything man :D

Answer 17

yea sorry i couldn't be more help though kind of a weak answer. My logic is kind poor since i knew the answer and worked backwards lol

Answer 18

Don't worry, I'm thankful for anything you have to offer, this is just practice for my final tomorrow, hope fully i can ace it

Answer 19

good luck =D

Answer 20

I don't have a good geometry foundation, yet i skipped it this year, and I'm going into AP Stats as a sophomore, hopefully its manageable

Answer 21

Thanks a ton

Answer 22

i did it you will be fine AP stats was an easy exam all simple math

Answer 23

Awesome, well anyways, I have to go to bed, ttyl :)

Answer 24

see ya

Answer 25

chao