Question

Find the side of a square whose diagonal is of the given measure. Given = 8 miles

Answer 1

the diagonal is solved by a^2+b^2=c^2
c=8 in this problem, so c^2=64
Since the figure is a square, a must equal b.
64/2=32, each side is root of 32 units
the square root of 32 is approximately 5.66.

Answer 2

Use the Pythagorean theorem. Since sides of squares are all equal 2a^2=8^2. 2a^2=64, so a^2=32. The sides are equal to the square root of 32