Question

are medians of .
If AG = (x + 5) in. and GD = (x – 1) in., what is the length of ?

A. 6 in.
B. 10 in.
C. 12 in.
D. 18 in.

Answer 1

*kisses u*

Answer 2

what

Answer 3

cant help it ur too beautiful

Answer 4

uuhh thank you

Answer 5

need more info

Answer 6

it a triangle

Answer 7

your question is incomplete though

Answer 8

maybe you could take a picture of the problem and upload it

Answer 9

AD , BE, AND CF are median of ABC

Answer 10

ok so AG = 2/3 * AD

Answer 11

x+5 = 2/3 * ( x + 5 + x - 1 )

Answer 12

it is asking for th length of gd

Answer 13

since AD = AG + GD
AG = 2/3 * (AG + GD )

Answer 14

now substitute

Answer 15

I am using the centroid theorem , (the centroid is 2/3 the length from the vertex to the midpoint of the opposite side)

Answer 16

so it is 18?

Answer 17

you need to first find x

Answer 18

the answer is GD = 6, actually

Answer 19

since AD = AG + GD (segment addition postulate)

and because

AG = 2/3 * (AD) centroid theorem

so putting it together
AG = 2/3 * ( AG + GD)

AG = 2/3 * AG + 2/3*GD

AG - 2/3*AG = 2/3 * GD

1/3*AG = 2/3*GD

multiply both sides by 3

AG = 2*GD

now substitute

x+5 = 2 (x-1)

Answer 20

thank you

Answer 21

so
x + 5 = 2x - 2

7 = x

now GD = x -1 , so GD = 7-1 = 6