MHB GRE often missed geometry question

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The discussion centers on a geometry question often missed in the GRE, specifically involving a right isosceles triangle and circle radius. Key calculations show that if the circle radius is denoted as r, then the length of side PQ is r√2 and MN is 2r. The ratio of these lengths simplifies to 2/√2, which is less than 2, confirming the correct answer is B. Participants reflect on their educational backgrounds, noting the absence of electronic calculators during their studies. The conversation highlights the importance of understanding geometric principles without reliance on technology.
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ok this is an observation question but many seem to miss the answer
What theorms would rely on to get the correct answer
 
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let $r$ be the circle radius …

$\Delta POQ$ is a right isosceles triangle

$PQ = r\sqrt{2}$

$MN = 2r$
 
skeeter said:
let $r$ be the circle radius …

$\Delta POQ$ is a right isosceles triangle

$PQ = r\sqrt{2}$

$MN = 2r$
so $\dfrac{2r}{r\sqrt{2}}=\dfrac{2}{\sqrt{2}}\approx1.43<2$
which is B
 
$\dfrac{2}{\sqrt{2}} = \sqrt{2} < 2$

no need for a decimal representation … unless you are “old school” and can recall $\sqrt{2} \approx 1.414$
 
not sure i graduated 1970
 
Beer soaked query follows.
karush said:
not sure i graduated 1970
From high school or college?
 
I graduated high school in 1970, before electronic calculators. Did learn to use a “slip-stick” though.
 
jonah said:
Beer soaked query follows.

From high school or college?A
i graduated from Azusa Pacific University 1970
but i took all my math at Citrus Community College which was next door but only went up to Algebra II handhelds in those days just did elementary math
 

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