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26 Jan 2010, 14:29
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
54% (02:08) correct
46%
(02:05)
wrong
based on 146
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Not Attempted Yet
In the diagram above, what is the length of MP if LNOQ is a square with an area of 64?
(1) a - b= 0
(2) OP = 1/2 OQ
OA is E but I disagree.
(1) I agree is INSUFF
(2) I think is SUFF because that the area is 64 tells us that each side is 8. If each side is 8 then the line from M to OQ is 8 and since OP = 1/2OQ then OP should be 4. Since this is a right angled triangle we can use Pythagorean theorem to tell us the length of MP. Am I correct?
(1) I agree is INSUFF
(2) I think is SUFF because that the area is 64 tells us that each side is 8. If each side is 8 then the line from M to OQ is 8 and since OP = 1/2OQ then OP should be 4. Since this is a right angled triangle we can use Pythagorean theorem to tell us the length of MP. Am I correct?
26 Jan 2010, 20:22
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Hi shanewyatt,
We're missing the height of M. Without the height of M, we cannot determine the difference in height between M and P. Without that difference, we cannot determine the height of the triangle--and without only one side triangle, we cannot use the pythagorean theorem to determine the hypotenuse.
We're missing the height of M. Without the height of M, we cannot determine the difference in height between M and P. Without that difference, we cannot determine the height of the triangle--and without only one side triangle, we cannot use the pythagorean theorem to determine the hypotenuse.
28 Jan 2010, 06:27
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In the diagram above, what is the length of MP if LNOQ is a square with an area of 64?
I guess that \(a\) and \(b\) on the diagram refer to the angle measurement.
(1) a - b= 0 --> \(a=b\). This is unnecessary info. We could derive this info from the fact that \(NL||OQ\).
(2) OP = 1/2 OQ --> \(OP=\frac{1}{2}OQ\). \(OP=PQ=4\), in other words point \(P\) is fixed, but no info about point \(M\). Insufficient.
(1)+(2) Zero info from (1) and insufficient info from (2). So taken together still insufficient.
Answer: E.
I guess that \(a\) and \(b\) on the diagram refer to the angle measurement.
(1) a - b= 0 --> \(a=b\). This is unnecessary info. We could derive this info from the fact that \(NL||OQ\).
(2) OP = 1/2 OQ --> \(OP=\frac{1}{2}OQ\). \(OP=PQ=4\), in other words point \(P\) is fixed, but no info about point \(M\). Insufficient.
(1)+(2) Zero info from (1) and insufficient info from (2). So taken together still insufficient.
Answer: E.
