The area of a square is 144 square centimeters. find the length of the diagonal. write your answer in simplest radical form.

Step-by-step explanation:

step 1

Find the length side of the square

we know that

The area of a square is equal to

where

b is the length side

we have

substitute in the formula of area

solve for b

square root both sides

step 2

Find the length of the diagonal

Applying the Pythagorean Theorem

see the attached figure to better understand the problem

substitute the given values

square root both sides

simplify

ab: 2 n83b8eb7ebi. 8e yen in

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.