The diagonals of a rhombus are 6 cm and 8 cm. Find the length of a side of the rhombus.
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The diagonals of rhombus bisect each other at 90⁰. AC=6cm and BD=8cm.So,AO=3cm , BO=4cm
In triangle ABO of rhombus ABCD,in which diagonals are intersecting at O,
AB²=AO²+BO²(Pythagoras theorem)
AB²=3²+4³
AB²=9+16
AB²=25
AB=5 cm
So length of side of rhombus is 5 cm
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