Question 1193623
square ABCD with diagonals DB and AC intersecting at E
DC = 8radical 3
Find: DB
simplest radical form DB =

approximation DB =

In triangle BCD BD^2= BC^2+BD^2  ( pythagoras theorem)

BD^2 =  (8sqrt(3))^2 +  (8sqrt(3))^2

= 2 *  (8sqrt(3))^2

= 2 *64*3

= 384

BD = sqrt(384)

= sqrt(8*8*6)

={{{ 8 sqrt(6)}}}

=8*2.449