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S is the midpoint of segment PR

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S is the midpoint of segment PR [#permalink] New post 10 Jun 2018, 08:14
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Question Stats:

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Attachment:
triangle.jpg
triangle.jpg [ 12.12 KiB | Viewed 281 times ]


S is the midpoint of segment PR

Quantity A
Quantity B
The length of segment QT
The length of segment QR


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: S is the midpoint of segment PR [#permalink] New post 11 Jun 2018, 11:29
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Carcass wrote:
Attachment:
triangle.jpg


S is the midpoint of segment PR

Quantity A
Quantity B
The length of segment QT
The length of segment QR


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


Since PSQ and RSQ are both right angle triangle, let the sides be 3,4 and 5.

QR = 5, SR = 3 and QS = 4.

Similarly PS = 3 , QS = 4 and QP = 5.

Now TS is lesser than PS , obviously the value will be less than 3 , for testing purpose take 2.

2^2 + 14 = x^2( for TSQ triangle)

X = 2*2.2 = 4.4

Col A < B.

B.
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Re: S is the midpoint of segment PR [#permalink] New post 29 Aug 2018, 03:11
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Also notice that T is closer to Midpoint and hence the hypotenune will be less than in length as compared to QR becasue hypotenuse is always biggest side of a tringle.
Re: S is the midpoint of segment PR   [#permalink] 29 Aug 2018, 03:11
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S is the midpoint of segment PR

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