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courtj17
courtj17 courtj17
  • 17-07-2016
  • Mathematics
Answered

ABCD is a rectangle. Find the length of each diagonals.


AC = c over 3

BD = 4 - c

Verified Answer :

dalendrk
dalendrk dalendrk
  • 17-07-2016

Diagonals are congruent

|AC| = |BD|

\(\dfrac{c}{3}=4-c\ \ \ |multiply\ both\ sides\ by\ 3\\\\ ot3^1\cdot\dfrac{c}{ ot3_1}=3(4)-3c\\\\c=12-3c\ \ \ |add\ 3c\ to\ both\ sides\\\\4c=12\ \ \ \ |divide\ both\ sides\ by\ 4\\\\\boxed{c=3}\\\\|AC|=|BD|=\dfrac{3}{3}=1\)

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