Question

find the length of \\(\overline{qv}\\) for square qrst.
the length of \\(\overline{qv}\\) is \\(\square\\).
(type an integer or decimal rounded to one decimal place as needed.)

Explanation:

Step1: Recall square diagonal properties

In a square, diagonals are equal and bisect each other. Also, diagonal \( d \) of a square with side \( s \) is \( d = s\sqrt{2} \). Here, side \( QR = 4 \), so diagonal \( QT \) (or \( RS \)) length is \( 4\sqrt{2} \).

Step2: Find QV length

Since diagonals bisect each other, \( QV=\frac{1}{2}QT \). Substitute \( QT = 4\sqrt{2} \), so \( QV=\frac{4\sqrt{2}}{2}=2\sqrt{2}\approx2.8 \).

Answer:

\( 2.8 \)