SOLUTION: Given:
square ABCD with diagonals DB and AC intersecting at E
DC = 8radical 3
Find:DB in simplest radical and approximation
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square ABCD with diagonals DB and AC intersecting at E
DC = 8radical 3
Find:DB in simplest radical and approximation
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Question 1193779: Given:
square ABCD with diagonals DB and AC intersecting at E
DC = 8radical 3
Find:DB in simplest radical and approximation Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! The square has right triangle DEC where the side is the hypotenuse. Because it is a square, the diagonals make angles EDC and ECD 45 degrees. Their lengths are sqrt(2)/2 for every 1 of the hypotenuse or their lengths are that of the hypotenuse divided by the sqrt (2).
8 sqrt (3)/sqrt(2)=8 sqrt(6)/2 after rationalizing the denominator.
This is 4 sqrt(6) and the diagonal length is twice that or 8 sqrt (6).
