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triangle

Expert replies
by shashank.ism » Tue Feb 09, 2010 12:55 pm
Through T, the mid-point of the side QR of a triangle PQR, a straight line is to meet PQ produced to S and PR at U, so that PU = PS. If the length of UR = 2 cm, then the length of QS is

3/2 cm
7/2 cm
5/2 cm
3 cm
2 cm
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Source: — Problem Solving |

by komal » Wed Feb 17, 2010 4:45 am
shashank.ism wrote:Through T, the mid-point of the side QR of a triangle PQR, a straight line is to meet PQ produced to S and PR at U, so that PU = PS. If the length of UR = 2 cm, then the length of QS is

3/2 cm
7/2 cm
5/2 cm
3 cm
2 cm
If <PSU = <PUS =Q , in triangle UTR the sine of < opposite to UR and TR is the same as
sine of < opposite to QS and QT in triangle QST correspondingly.Since , TR=QT =>QS=UR=2

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by harsh.champ » Thu Feb 18, 2010 2:34 am
komal wrote:
shashank.ism wrote:Through T, the mid-point of the side QR of a triangle PQR, a straight line is to meet PQ produced to S and PR at U, so that PU = PS. If the length of UR = 2 cm, then the length of QS is

3/2 cm
7/2 cm
5/2 cm
3 cm
2 cm
If <PSU = <PUS =Q , in triangle UTR the sine of < opposite to UR and TR is the same as
sine of < opposite to QS and QT in triangle QST correspondingly.Since , TR=QT =>QS=UR=2

My doubt is:-Since QS is extended line of PQ wouldn't the length of QS be greater than that of PQ which would be greater than 2??

Also,I didn't understand how
sine of < opposite to UR and TR is the same as
sine of < opposite to QS

Can you show it with a diagram ??It seems very confusing from the interpretation diagram I have drawn.
Thanks in advance.
It takes time and effort to explain, so if my comment helped you please press Thanks button :)



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by komal » Thu Feb 18, 2010 2:43 am
My doubt is:-Since QS is extended line of PQ wouldn't the length of QS be greater than that of PQ which would be greater than 2??

Also,I didn't understand how
sine of < opposite to UR and TR is the same as
sine of < opposite to QS

Can you show it with a diagram ??It seems very confusing from the interpretation diagram I have drawn.
Thanks in advance.[/quote]


PS.QT.UR = QS.TR.PU
as PS = PU and QT = TR
we have UR = QS
so QS = 2.
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by harsh.champ » Thu Feb 18, 2010 3:46 am
komal wrote:My doubt is:-Since QS is extended line of PQ wouldn't the length of QS be greater than that of PQ which would be greater than 2??

Also,I didn't understand how
sine of < opposite to UR and TR is the same as
sine of < opposite to QS

Can you show it with a diagram ??It seems very confusing from the interpretation diagram I have drawn.
Thanks in advance.

PS.QT.UR = QS.TR.PU
as PS = PU and QT = TR
we have UR = QS
so QS = 2.
[/quote]

Thanks.Now,I get it.
PS.QT.UR = QS.TR.PU
This was one of the formulas I had learnt in my 9th grade.
The main problem is I don't remember them when there is a need to apply the formulae.
A further problem is that when you have memorized too many formulas it doesn't click which one to use in what problem and it gets all messes up.[Don't most GMAT instructions advise to refrain from learning too many formulas??]
Guess the only panacea is practice.
Have you learnt all these formulas form practice or have you memorized them??Just asking.
It takes time and effort to explain, so if my comment helped you please press Thanks button :)



Just because something is hard doesn't mean you shouldn't try,it means you should just try harder.

"Keep Walking" - Johnny Walker :P
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