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**+1 **

The two sides of the triangle are 120 "meaters" 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