We appreciate your visit to if wxyz is a square with wz 27 find rx. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Since WX is given as 27, we know sides of the square are 27 each.
ZX is the diagonal of the square. R is the midpoint of the square and also the diagonal. Thus, RX will be half of the diagonal (ZX).
The formula that relates a square's side length (s) to the diagonal length (d) is:
[tex]d=s\sqrt[]{2}[/tex]So, let's figure out the length of ZX first:
[tex]\begin{gathered} d=s\sqrt[]{2} \\ ZX=WX\sqrt[]{2} \\ ZX=27\sqrt[]{2} \end{gathered}[/tex]RX is half of ZX, thus,
[tex]\begin{gathered} RX=\frac{1}{2}ZX \\ RX=\frac{1}{2}(27\sqrt[]{2}) \\ RX=\frac{27}{2}\sqrt[]{2} \\ RX\approx19.09 \end{gathered}[/tex]Rounding to 1 decimal place, the answer is
RX = 19.1Thanks for taking the time to read if wxyz is a square with wz 27 find rx. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
Rewritten by : Barada
