SOLUTION: The perimeter of a rhombus is 40cm, and one diagonal is 12cm long. How long is the other diagonal?

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Question 25119: The perimeter of a rhombus is 40cm, and one diagonal is 12cm long. How long is the other diagonal?
Answer by venugopalramana(3286) About Me  (Show Source):
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The perimeter of a rhombus is 40cm, and one diagonal is 12cm long. How long is the other diagonal?
RHOMBUS PERIMETER =4*SIDE=40
SIDE=40/4=10
DIAGONALS BISECT EACH OTHER AT RIGHT ANGLES IN RHOMBUS.HENCE
SIDE^2 = (D1/2)^2+(D2/2)^2
10*10 = (12/2)^2+(D2/2)^2
(D2/2)^2=100-36=64
D2/2=8
D2=16