Question #164f6

1 Answer
Nov 5, 2017

13.4350

Explanation:

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