SOLUTION: In the rectangle below,AC has a length of 28. What is the length of ED If necessary, round your answer to two decimal places. {{{drawing(200,800/7,-2,26,-2,14, red(line(0,0,23,0),

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: In the rectangle below,AC has a length of 28. What is the length of ED If necessary, round your answer to two decimal places. {{{drawing(200,800/7,-2,26,-2,14, red(line(0,0,23,0),      Log On

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Question 570159: In the rectangle below,AC has a length of 28. What is the length of ED If necessary, round your answer to two decimal places.
Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!
           

The diagonals of a rectangle have equal lengths. Since AC has a length of 28,
and AC is a diagonal, the other diagonal BD also has a length of 28.

The diagonals of a rectangle also bisect each other.  So diagonal BD is
bisected by the other diagonal AC at point E.  And since diagonal BD has
a length of 28 then BE and ED both have a length which is 1%2F2 of 28,
or 14 each.

Answer: ED has a length of 14.

Edwin