Please help! I have this worksheet due tomorrow and I don't want answers but I don't know what to do. I tried using right triangles but there aren't any I know enough about. I'll attach a drawing of the problem in the thread. Thanks!

- trantom

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- trantom

|dw:1433114484012:dw|

- trantom

The 11 refers to \[LT\]

- trantom

|dw:1433114690021:dw|

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## More answers

- ganeshie8

what are you trying to find

- trantom

The missing lengths
sorry I should have said that xD

- trantom

PT, PN, LR, and RT (the lengths of all these segments)

- ganeshie8

Okay what lengths are you given ?

- trantom

They're labelled in the diagram

- ganeshie8

diagram is a bit confusing, can you write down the given lengths

- trantom

But here
LM=7
MN=8
TN=10
PR=3
RM=6
LT=11

- trantom

|dw:1433114943288:dw|

- ganeshie8

you may use "intersecting chords theorem" to find RT

- ganeshie8

|dw:1433115060081:dw|

- trantom

oh ok I get that

- ganeshie8

what do you get for RT ?

- trantom

LR=9
RT=2

- trantom

I got you man thanks so much!

- trantom

Now what about PT, can I do the same thing for that?

- ganeshie8

how do you know its not
LR = 2
RT = 9
?

- trantom

Because the two larger ones are always on the same side of the intersection

- trantom

oh but it could be the other way too.. oh actually that's weird

- trantom

oh I know

- trantom

A triangle with side lengths 6, 7, and 2 is impossible right? wait not that's totally possible
Agh I'm confused

- trantom

oh because LR goes past the center and RT doesn't start until after that

- ganeshie8

maybe lets find PT first

- trantom

thats a good idea xD

- trantom

You could use a lot of trig to get angle LRM, then use its vertical angle PRT to find PT

- ganeshie8

there is an easy formula

- ganeshie8

simply use this
|dw:1433115780042:dw|

- trantom

so... 15x8=10(x-10)
and x-10 is PT

- ganeshie8

shouldnt it be
15x8=10(x\(\color{red}{+}\)10) ?

- trantom

if you want x to be pt then yes, but I was having x-10 be pt
anyway I got pt=12

- ganeshie8

|dw:1433116168532:dw|

- trantom

or x is 4 in yours

- ganeshie8

NT = 10 right ?

- ganeshie8

you should be getting PT=2
http://www.wolframalpha.com/input/?i=solve%208(8%2B7)%20%3D%2010(10%2Bx)&t=crmtb01

- trantom

where did you get x+8 from? there's no 8 there

- trantom

shouldn't it be 15*8 = 10(x+10)

- ganeshie8

sry it was a typo
yeah it is `15*8 = 10(x+10)`

- trantom

12= x+10
x=2 yep

- trantom

Ok I get it thanks!

- trantom

and the reason why LR=9 and RT=2 instead of LR=2 and RT=9 is because a triangle with side lengths 2, 3, and 9 is impossible!

- ganeshie8

Looks good!

- trantom

Thank you so much I've been getting B+'s and A-'s on a couple tests lately I need to get back to being an A student xD

- ganeshie8

I see you're very good in geometry, you deserve A+

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