SOLUTION: the shorter diagonal of rhombus is equal to one of its sides. the length of a side of the rhombus is 6cm. (a) find each diagonal of the rhombus.

Question 29003: the shorter diagonal of rhombus is equal to one of its sides. the length of a side of the rhombus is 6cm.
(a) find each diagonal of the rhombus.
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
IN A RHOMBUS IF SIDE IS X WE HAVE
(D1/2)^2+(D2/2)^2=X^2...WHERE D1 AND D2 ARE DIAGONALS
IF D1=X THEN
(X/2)^2+(D2/2)^2=X^2...
(D2/2)^2=3X^2/4
D2/2=X*SQRT3/2
D2=X*SQRT3
SO EACH DIAGONAL IS X AND X*SQRT(3)
NOW X=6 SO
D1=6 AND D2 =6SQRT(3)=10.4
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