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In the figure, if QS=6 units and PS=8 units, then what is the length
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07 Oct 2017, 11:23
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In the figure, if QS=6 units and PS=8 units, then what is the length of segment SR ? I don't have options. The answer is= 32/3.
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Re: In the figure, if QS=6 units and PS=8 units, then what is the length
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08 Oct 2017, 03:45
It would be very simple if you use similar triangle property. So Triangle PQS ~ Triangle RPS \(\frac{PS}{QS} = \frac{RS}{PS}\) \(RS = \frac{PS * PS}{QS}\) RS = 64/6 = 32/3
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Re: In the figure, if QS=6 units and PS=8 units, then what is the length
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07 Oct 2017, 13:02
Harikrushna Kotadiya wrote: In the figure, if QS=6 units and PS=8 units, then what is the length of segment SR ?
I don't have options. The answer is= 32/3. Sent from my SMG600FY using GMAT Club Forum mobile app



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Re: In the figure, if QS=6 units and PS=8 units, then what is the length
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08 Oct 2017, 04:20
triangle RPQ is similar to trainagle PSQ =>PQ/QR = QS/PQ. by Pythagoras theorem, PQ = 10. => 100/6 = QR => QR = 50/3 => QS+SR = 50/3 => SR = 50/3  6/1 =>SR = 32/3



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Re: In the figure, if QS=6 units and PS=8 units, then what is the length
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09 Oct 2017, 21:38
Given that only both are right triangles and only one side PR is common, then how did you apply similar triangles rules , please explain
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Re: In the figure, if QS=6 units and PS=8 units, then what is the length
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09 Oct 2017, 22:05
Just playing with algebra a little bit (ignore negative value) 24+4x=5(sq64+x^2) 16x^2+576=1600+25x^2 9x^2=1024 3x=32 x=32/3



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Re: In the figure, if QS=6 units and PS=8 units, then what is the length
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10 Oct 2017, 02:35
Harikrushna Kotadiya wrote: In the figure, if QS=6 units and PS=8 units, then what is the length of segment SR ?
I don't have options. The answer is= 32/3. For a right angles triangle as given in figure always remember PS^2 = QS * SR 8^2 = 6 * SR SR = 64/6 = 32/3
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Re: In the figure, if QS=6 units and PS=8 units, then what is the length
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26 Jan 2019, 23:04
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Re: In the figure, if QS=6 units and PS=8 units, then what is the length
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