You're looking for a relationship between the side lengths of the right triangle. Use the area of the square to find the side length, b.

Question

Now, think about the value of
9
​
. Is
9
​
equal to a whole number? In other words, is there any whole number side length you can multiply by itself to get an area of 9 units
2
?
a = 6b = ?ca
2
= 36 units
2
b
2
= 9
units
2


b
2
= 9
b =
9
​
= ?

Yes,
9
​
is equal to a whole number.

No,
9
​
is not equal to a whole numbe

Answer 1

To determine the side length \( b \) given that \( b^2 = 9 \) square units, we can find \( b \) by taking the square root of both sides.

The equation is:

\[ b^2 = 9 \]

Taking the square root of both sides gives:

\[ b = \sqrt{9} = 3 \]

So, the side length \( b \) is 3 units.

Now, regarding the question about whether 9 is a whole number:

Yes, \( 9 \) is equal to a whole number, as it is an integer (3 multiplied by itself equals 9). Thus, the answer is:

Yes, \( 9 \) is equal to a whole number.