Question

The diagonal of a square is 25ft. Find the length of ONE side of the square.

Answer 1

The diagonal of a square is 25ft. Find the length of ONE side of the square

we have that

Applying the Pythagorean Theorem

Let

c ----> the diagonal of the square

a----> the length of one side

so

c^2=a^2+a^2

c^2=2a^2

substitute the given values

25^2=2a^2

625=2a^2

a^2=312.5

a=17.68 units

or

exact value is

`\begin{gathered} a=\sqrt[\square]{(625)/(2)} \\ a=\frac{25}{\sqrt[]{2}} \\ a=\frac{25\sqrt[]{2}}{2}\text{ ft} \end{gathered}`