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Mathematics 25 Online
OpenStudy (anonymous):

help me!!!!!! http://assets.openstudy.com/updates/attachments/4f9f87b7e4b01d279f25d0f0-kaytree16-1335855060605-introductiontriangles_writingassignment.pdf

OpenStudy (paxpolaris):

2/3 RW = RU ?

OpenStudy (anonymous):

you still haven't told me the full answer :(

OpenStudy (anonymous):

im really bad at geometry yall sorry

OpenStudy (anonymous):

help

OpenStudy (paxpolaris):

which is smaller in the figure .... RW or RU

OpenStudy (anonymous):

u want the website so you could see it yourself?

OpenStudy (anonymous):

rw is the smallest tho

OpenStudy (paxpolaris):

if RW is smaller ..... then RU can't be two-thirds of RW ..... because that would make RU smaller

OpenStudy (anonymous):

ok....and

OpenStudy (anonymous):

#2 help please?

OpenStudy (paxpolaris):

in fact since W is the centroid (point where all the medians meet): \[RW= \frac23RU\]

OpenStudy (paxpolaris):

the same relation ship between QW and QT

OpenStudy (paxpolaris):

the centroid divides a median in the ratio : 2:1

OpenStudy (paxpolaris):

\[QW = \frac23 QT\] \[\implies QT = \frac32QW\]

OpenStudy (anonymous):

ok :)

OpenStudy (paxpolaris):

\[QT= \frac32 \times27\\={81\over2}\\=40.5\]

OpenStudy (anonymous):

perfect i think on #2 Jordan is right.....wat do u think?

OpenStudy (paxpolaris):

Well i can see RT cuts QS in half... so RT bisects QS. But how do we know that RT is also PERPENDICULAR to QS ???

OpenStudy (anonymous):

well you can see that there r them tick marks on both side from the line dividing the triangle....right

OpenStudy (paxpolaris):

|dw:1415656128501:dw|

OpenStudy (anonymous):

they most equal the same...right?

OpenStudy (paxpolaris):

right QT = TS but we also need to show they are perpendicular .... (only then we have a \(perpendicular\) bisector)

OpenStudy (anonymous):

mmmm true....

OpenStudy (anonymous):

look im sorry i skyped 9th grade and im like totaly lost on 10th grade -.-

OpenStudy (paxpolaris):

do we have enough info to show: \(RT \perp QS\)

OpenStudy (anonymous):

not really

OpenStudy (paxpolaris):

so robert is right

OpenStudy (paxpolaris):

one easy way we could have known that is if they had marked it |dw:1415656498003:dw| but they din't

OpenStudy (anonymous):

yea

OpenStudy (paxpolaris):

We could also have know that R is on the Perpendicular Bisector if they had marked RQ=RS. (because any point on Perpendicular Bisector must be equidistant to the endpoints)|dw:1415656693097:dw| ...but we don't have that either

OpenStudy (anonymous):

right therefore robert was right....alright now was up with #3? i think its wrong 100%

OpenStudy (paxpolaris):

basically any info that could prove \(\triangle RQT \cong \triangle RST\) would have made RT the perpendicular bisector

OpenStudy (anonymous):

thankx so #3

OpenStudy (paxpolaris):

so, you need 2 ways to prove that angles are wrong...

OpenStudy (paxpolaris):

can you think of one

OpenStudy (anonymous):

if you add all the sides , they equal to 268 degrees instead of 180 degress

OpenStudy (paxpolaris):

what does the sum of all the angles of a triangle have to be ?

OpenStudy (paxpolaris):

not sides, angles. but you are correct that's one reason.

OpenStudy (paxpolaris):

before we do the second reason we should look at #4.

OpenStudy (anonymous):

ok

OpenStudy (paxpolaris):

what did you say for number 4

OpenStudy (anonymous):

your the boss....for #4...

OpenStudy (anonymous):

they all equal 180 there fore it most be an obtuse triangle

OpenStudy (paxpolaris):

who's correct Joey, or Robin?

OpenStudy (anonymous):

joey

OpenStudy (paxpolaris):

(you are right), but what about Robin's point: there is only one obtuse angle in the triangle.... BUT there are still 2 acute angles

OpenStudy (anonymous):

ok thats true but ....

OpenStudy (paxpolaris):

what would happen if we tried to make a triangle with 2 obtuse angles

OpenStudy (paxpolaris):

the first obtuse angle is more 90 degrees, the 2nd obtuse angle is more than 90 degrees....

OpenStudy (paxpolaris):

so the sum of the two obtuse angles would have to be MORE than 180. correct?

OpenStudy (paxpolaris):

but that is not allowed

OpenStudy (anonymous):

ok ok so ...

OpenStudy (paxpolaris):

you can try drawing 2 obtuse angles |dw:1415657971606:dw| and you'll see the sides can never meet to form a triangle

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