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how do i find the diagonal measure

 May 14, 2015

Best Answer 

 #2
avatar+870 
+5

Diagonal of a rectangle of lenght l and width w :

$${\sqrt{{{\mathtt{l}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{w}}}^{{\mathtt{2}}}}}$$

Note: For a square, l=w so:

$${\sqrt{{{\mathtt{c}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{c}}}^{{\mathtt{2}}}}} = {\sqrt{{\mathtt{2}}{\mathtt{\,\times\,}}{{\mathtt{c}}}^{{\mathtt{2}}}}} = {\sqrt{{{\mathtt{c}}}^{{\mathtt{2}}}}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{2}}}} = {\mathtt{c}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{2}}}}$$

http://www.mathopenref.com/rectanglediagonals.html

 May 14, 2015
 #1
avatar+118677 
+5

probably using Pythagoras's theorem.

 May 14, 2015
 #2
avatar+870 
+5
Best Answer

Diagonal of a rectangle of lenght l and width w :

$${\sqrt{{{\mathtt{l}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{w}}}^{{\mathtt{2}}}}}$$

Note: For a square, l=w so:

$${\sqrt{{{\mathtt{c}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{c}}}^{{\mathtt{2}}}}} = {\sqrt{{\mathtt{2}}{\mathtt{\,\times\,}}{{\mathtt{c}}}^{{\mathtt{2}}}}} = {\sqrt{{{\mathtt{c}}}^{{\mathtt{2}}}}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{2}}}} = {\mathtt{c}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{2}}}}$$

http://www.mathopenref.com/rectanglediagonals.html

EinsteinJr May 14, 2015

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