Question

A community is building a square park with sides that measure 145 meters. To separate 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 meter.
145 meters
42,050 meters
205 meters
290 meters

Answer 1

You can solve this problem by using the pythagorean theorem.
${a }^{2} + {b}^{2} = {c}^{2}$
Where the a- and b-values represent the sides of the triangle. Since the park is a sqaure, each side is equal. This means that both the a-value and the b-value are the same. Now, you must find the c-value.

145^2 + 145^2 = c^2

21,025 + 21,025 = c^2

42,050 = c^2 *now square root each side of the equation.*

205.06 = c

The length of the diagonal line is 205 meters.