The area of a square is 81square centimeters. first, find the length of a side. then, find the length of the diagonal?

Part 1:

The length of a side is 9 cm.

The square root of 81 is 9. We have to find the square root bc we know it is a square.

Part 2:

The hypotenuse (or diagonal) is c.

Using the Pythagorean Theorem

you would know that 9 is a and b.


We know that

so you add 81 to 81.


81 and 81 make 162.

So you know ...


You take the square root of 162.


well almost.

You can write your answer as


or


Hope I helped!