Question

score: 3/6 answered: 3/6 question 4 find x. image of a square with a right angle, all sides marked as equal, and a diagonal labeled 38 x = round your answer to the nearest two decimal places. submit question

Explanation:

Step1: Identify the shape

The figure is a square (all sides equal, right angle) with a diagonal of length 38. Let the side length be \( x \).

Step2: Use Pythagorean theorem

In a square, the diagonal \( d \) and side \( x \) satisfy \( d^2 = x^2 + x^2 = 2x^2 \). Given \( d = 38 \), so \( 38^2 = 2x^2 \).

Step3: Solve for \( x \)

First, calculate \( 38^2 = 1444 \). Then, \( 2x^2 = 1444 \), so \( x^2=\frac{1444}{2}=722 \). Take the square root: \( x = \sqrt{722} \approx 26.87 \).

Answer:

\( 26.87 \)