Question

L is the midpoint of CD. If CL= 1/3x+8 and LD=2/3x-4, find the length of CD. Would i add the equations together?? HELP

Answer 1

L divides CD in half, meaning CL and LD would be exactly the same.

Answer 2

So CL=LD
\[\frac{ 1 }{ 3x+8 }=\frac{ 2 }{ 3x-4 }\]

Answer 3

Then you would cross multiply. 1(3x-4) = 2(3x+8)
Tell me what you get ^^

Answer 4

3x-4=6x+16??

Answer 5

Yep ^^
Now combine like terms

Answer 6

ooohhhhhh

-4=3x+16
-20=3x
-6.66=x
right?

Answer 7

Yep, but it'll be easier to work if you keep it as a fraction.
so now that you know x is -20/3, plug -20/3 into either CL or LD to find its length

Answer 8

ooohhhh thank you so much!

Answer 9

Mhm. And once you get the length, remember to multiply it by 2 because you would only be finding half the length by using CL or LD instead of CD

Answer 10

Thank you! i never would've done that!