# The diagonal of a square has length #12sqrt2# ft. How do you find the length of the side of the square?

##### 1 Answer

Mar 9, 2018

length of side:

#### Explanation:

Since the figure is a square, it's sides have the same length; Lets call this length

The diagonal forms a hypotenuse,

and, based on the Pythagorean Theorem,

and since the diagonal (

we have

and since (in the normal world) lengths can not be negative:

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An easier way to see this is to remember the standard right triangle (often used in trigonometry):

and realize the given triangle is a similar triangle simply scaled up by a factor of