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.
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 \(53.7\)