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In square ABCD, point P is the midpoint of side BC and point
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06 Nov 2019, 09:19
06 Nov 2019, 09:19
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#greprepclub In square ABCD.jpg [ 20.29 KiB | Viewed 6936 times ]
In square ABCD, point P is the midpoint of side BC and point Q is the midpoint of side AD. Point E (not shown) is located on line 1 and triangle BCE is equilateral.
Quantity A |
Quantity B |
The length of PQ |
The length of PE |
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.
Kudos for the right answer and explanation
_________________
Re: In square ABCD, point P is the midpoint of side BC and point
[#permalink]
27 Nov 2019, 12:42
27 Nov 2019, 12:42
1
The right answer is A.
Let side of square=x. So A is x.
As BCE is equilateral, BE = CE = BC = x
PCE is a right angle triangle and CE is the hypotenuse. So PE will be less than CE. Therefore PE is less than x.
So A is the answer
Let side of square=x. So A is x.
As BCE is equilateral, BE = CE = BC = x
PCE is a right angle triangle and CE is the hypotenuse. So PE will be less than CE. Therefore PE is less than x.
So A is the answer
Re: In square ABCD, point P is the midpoint of side BC and point
[#permalink]
09 Feb 2020, 18:25
09 Feb 2020, 18:25
As ABCD is a square so AB=BC=CD=DA=PQ, and As BCE is equilateral triangle so BC=CE=BE, So from these above two equation PQ=PE, answer is C.
please correct me if I am wrong.
Posted from my mobile device
please correct me if I am wrong.
Posted from my mobile device
Re: In square ABCD, point P is the midpoint of side BC and point
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30 Aug 2021, 03:21
30 Aug 2021, 03:21
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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