diagonal distance in squares

Guest May 28, 2017

4+0 Answers


To find the length of the diagonal of a square, multiply the length of one side by the square root of 2: If the length of one side is x... The central angle of a square: The diagonals of a square intersect (cross) at a 90-degree angle.

Guest May 28, 2017

use pythagoras's theorum



Melody  May 28, 2017

oh it is a square so length l and breadth b will be the same


\(d^2=2l^2\\ d=\sqrt{2l^2}\;\;units\)

Melody  May 28, 2017





This can be simplified further:


Im going to use a radical rule that says \(\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}\hspace{1cm}\), assuming \(a\geq0,b\geq0\). You might notice that there is a condition for using this. This rule only works when both a and b are nonnegative. In the context of geometry, \(l\) should be positive because otherwise a square couldn't exist if a side length is -8, for example. I will apply this rule:




Here, too, I will apply a rule that only works with nonnegative numbers: \(\sqrt[n]{a^n}=a\), assuming \(a\geq0\). Let's apply it now:




I just wanted you to be aware of this. You can't simplify \(\sqrt{2l^2}\)   further otherwise.

TheXSquaredFactor  May 28, 2017

13 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details