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

answer: 25 is the correct answer

step-by-step explanation:

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step-by-step explanation: