Connect with a knowledgeable community and get your questions answered on IDNLearn.com. Discover detailed and accurate answers to your questions from our knowledgeable and dedicated community members.
the length of the square is a = 6 in.
the length of the diagonal is,
[tex]d=\sqrt[]{2}a[/tex]where a= side of the square,
[tex]\begin{gathered} d=\sqrt[]{2}\times6 \\ d=6\sqrt[]{2} \end{gathered}[/tex]in rectangle, the length of the diagonal SQ,
[tex]\begin{gathered} SQ=\sqrt[]{6^2+12^2} \\ SQ=\sqrt[]{36+144} \\ \end{gathered}[/tex][tex]\begin{gathered} SQ=\sqrt[]{180} \\ SQ=\sqrt[]{36\times5} \\ SQ=6\sqrt[]{5} \end{gathered}[/tex]so it is clear that 2 x OM
[tex]\begin{gathered} 2\times6\sqrt[]{2} \\ 12\sqrt[]{2} \end{gathered}[/tex]so it is not equal to SQ.
it means the sam was wrong.
he length of diagonal SQ is not equal to two times the length of diagonal OM.