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a community is building a square park with sides that measure 120 meaters. to seperate the picnic area from the play area, the park is split by a diagonal line from opposite corners. determine the approximate length of the diagonal line that splits the square. if necessary, round your answer to the nearest tenth.

Guest Apr 29, 2017
 #1
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The two sides of the triangle are 120 "meaters" wink long.

 

Pythagorean theorem is as follows:

\(c^2=a^2+b^2\)

 

"a" and "b" are the sides. "c" is the diagonal.

 

So substitute the length in:

\(c^2=120^2+120^2\)

 

And simplify

\(14400+14400=c^2\)

\(28800=c^2\)

\(c=\sqrt{2880}\)

\(c=24\sqrt{5}≈53.7\)

 

Answer:

\(24\sqrt{5}\)    or    \(53.7\)

Guest Apr 29, 2017
 #2
avatar+7324 
+1

Ah something is slightly off..the diagonal must be longer than the length of the sides...!

I think you forgot a one zero at the end...it should be

 

\(c=\sqrt{28800}=120\sqrt2 \approx 169.706\)      (meters)     smiley

hectictar  Apr 30, 2017

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