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A rhombus has sides of 5 cm each and one diagonal is 6 cm long. Find the area of the rhombus.

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2 answers

  1. make a sketch
    in a rhombus, the diagonals right-bisect each other.
    So we get 4 congruent right angled triangles.
    By Pythagoras , it is easy to see that each triangle has sides 3,4, and 5
    So the other diagonal is 8 units long.
    The area of a rhombus is (1/2)(product of the diagonals)
    = (1/2)(6)(8) = 24

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  2. the diagonals of a rhombus measure 8cm and 6cm what is the lengh of the rhombus

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