QUESTION IMAGE
Question
- in the square below, if wy = 32, find xy. round to the nearest tenth.
xy = \square
Step1: Identify square diagonal property
Diagonals of square are equal: $WY = XZ = 32$
Step2: Relate diagonal to side length
For square, diagonal $d = s\sqrt{2}$, so $s = \frac{d}{\sqrt{2}}$
Step3: Calculate side length XY
$XY = \frac{32}{\sqrt{2}} = 16\sqrt{2} \approx 22.6$
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22.6