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Answer 1 · 2017-11-05T19:38:02

13.4350

Consider square ABDC

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We know that #angleABD# is #90^o#

We also know that the length of AB is equal to the length of BD.

We can analyze #triangle ABD# and use Pythagorean theorem to solve for the length of the sides.

#a^2 + b^2 = c^2#
a and b are the sides, and c is the diagonal which is equal to 19.
Since, a and b are equal, we can just use one variable, say s.

#s^2 + s^2 = 19^2#
#2s^2=361#
#s=13.4350#