What's the length of it's side?

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Answer 1 · 2018-02-21T13:11:57

#13.44# units.

Assume the side of the square as #x# units.

So, According to the Question,

#x^2 + x^2 = 19^2# [Pythagoras' Theorem]

#rArr 2x^2 = 19^2#

#rArr x^2 = 19^2/2#

#rArr x = sqrt(19^2/2) = 19/sqrt(2)# [Taking positive as length is never -ve.]

So, The length of the square is #19/sqrt(2)# units = #13.44# units.
(Round to 2 d.p.)

Hope this helps.