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

2+0 Answers


The two sides of the triangle are 120 "meaters" wink long.


Pythagorean theorem is as follows:



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


So substitute the length in:



And simplify







\(24\sqrt{5}\)    or    \(53.7\)

Guest Apr 29, 2017

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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