Question

use the square to answer the question.
what is the length of a diagonal of the square?
a. 30
b. 30\sqrt{2}
c. 30\sqrt{3}
d. 60

Explanation:

Step1: Apply the Pythagorean theorem

In a square with side length \(a = 30\), the diagonal \(d\) forms a right - triangle with two sides of the square. By the Pythagorean theorem \(d^{2}=a^{2}+a^{2}\).
Substitute \(a = 30\) into the formula: \(d^{2}=30^{2}+30^{2}\).

Step2: Simplify the equation

$$
LATEXBLOCK0
$$

Answer:

B. \(30\sqrt{2}\)