Length of the diagonals of the rhombus is 12cmand 16cm respectively. Find the length of each side
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ABCD is a rhombus.
Rhombus is a parallelogram, and in a parallelogram diagonals bisect each other perpendicularly.
AC and BD bisect at 0. ( You can use different letters in place of ABCD )
Using pythagoras theorem-
DO² + CO² = CD²
12² + 16² = CD²
144 + 256 = CD²
400 = CD²
CD = 20cm.
Since in rhombus all sides are equal, we have
AB + BC + CD + AD = 20cm.
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