Question

A square has side length 3 units. What is the length of the diagonal?
A. 3 units
B. 3/√2 units
C. 3√2 units
D. 6 units

Answer 1

Answer:

C

Step-by-step explanation:

The diagonal can be represented as the hypotenuse of a right triangle with 3 and 3 as its legs. Use the pythagorean theorem to get that 3^2+3^2=c^2. Simplify to 9+9=c^2 or 18=c^2. Square root both sides to get c=√18. Simplify to get c=√9*2 or c=3√2 for the diagonal.

Answer 2

The length of the diagonal of the square is (b) $3\sqrt 2$ units

The length of the diagonal of a square is calculated using the following Pythagoras theorem

$d^2 = l^2 + l^2$

Where:

• d represents the length of the diagonal
• l represents the side length of the square

So, we have:

$d^2 = 3^2 + 3^2$

Evaluate the like terms

$d^2 = 2(3^2)$

Take the square roots of both sides

$d =3\sqrt2$

Hence, the length of the diagonal of the square is (b) $3\sqrt 2$ units

Read more about diagonals at:

https://brainly.com/question/654982