Respuesta :

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
[tex]a^{2} + {b}^{2} = {c}^{2} [/tex]
you would know that 9 is a and b.

[tex] {9}^{2} + {9}^{2} = {c}^{2} [/tex]
We know that
[tex] {9}^{2} = 81[/tex]
so you add 81 to 81.

[tex]81 + 81 = 162[/tex]
81 and 81 make 162.

So you know ...

[tex]{c}^{2} = 162[/tex]
You take the square root of 162.

[tex] \sqrt{162} = 12.73[/tex]
well almost.

You can write your answer as

[tex]about \: 12.73 cm[/tex]
or
[tex] \sqrt{162} cm[/tex]

Hope I helped!

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