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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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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.
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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.
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