A square has side length 10 yd. What is the length of a diagonal of the square?

Express in simplest radical form.

10√2

Step-by-step explanation:

Lets cut the square into a triangle, making a line from one corner to another, then let's see what we have.

We shoupd have a triangle where we don't know the hypotenuse, which we can find using the formula: a^2 + b^2 = c^2

so:

10^2 + 10^2 = c^2

100 + 100 = c^2

c^2 = 200

now let's square root what we got

√200

there are 2 10's in 200, which will turn the equation to:

10√2

this can't be simplified further, so our answer is 10√2