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 January 20th, 2017, 05:38 PM #1 Newbie   Joined: Jan 2017 From: ? Posts: 2 Thanks: 0 Pythagoras (Help) A baseball infield is a square, each side measuring 80m. To the nearest metre what is the distance from home plate to second base? so I did, x = 80msquared + 80msquared = 160 + 160 = 320 then square root 320 which is 17.88854382 to place should I round it too? no idea is it 17.88? Thank You. PS: what is leg length? Last edited by ghira001; January 20th, 2017 at 06:09 PM. Reason: Detailing
 January 20th, 2017, 06:53 PM #2 Member   Joined: Oct 2016 From: Melbourne Posts: 77 Thanks: 35 \displaystyle \begin{align*} 80^2 = 6400 \end{align*}, not 160... Thanks from ghira001
 January 20th, 2017, 08:28 PM #3 Global Moderator   Joined: Dec 2006 Posts: 19,178 Thanks: 1646 The square root of 21800 is 113.1..., which is 113 after rounding.
 January 20th, 2017, 08:43 PM #4 Senior Member   Joined: Aug 2012 Posts: 1,956 Thanks: 547 Hate to be pedantic at a moment like this, but the distance between the bases is 90 feet. That's 27 point something meters. Not even remotely 80. I know it's irrelevant to the question but still, numbers used in problems should be reasonably accurate if they claim to be about something in the real world. Think how big a baseball field would be if it's 80 meters between the bases. That's 320 meters around, almost a fifth of a mile. https://en.wikipedia.org/wiki/Baseball_field
January 21st, 2017, 02:05 PM   #5
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Quote:
 Originally Posted by ghira001 x = 80msquared + 80msquared = 160 + 160 = 320 then square root 320 which is 17.88854382
Since we're being pedantic I'm going to mention one of my pet peeves. The above equation is not an equation for x. The correct statement (not in LaTex) would be
x^2 = 80msquared + 80msquared

Then you can take your square root at the end.

The reason I mention this is that if the grader can't read it, many mark it wrong. I always drilled my students to write the correct statements.

-Dan

January 21st, 2017, 06:10 PM   #6
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Quote:
 Originally Posted by topsquark Since we're being pedantic I'm going to mention one of my pet peeves. The above equation is not an equation for x. The correct statement (not in LaTex) would be x^2 = 80msquared + 80msquared Then you can take your square root at the end. The reason I mention this is that if the grader can't read it, many mark it wrong. I always drilled my students to write the correct statements. -Dan
Technically it should be x^2 = (80m)squared + (80m)squared, as it appears that you are writing "80 square metres" the other way...

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