Construct a Rhombus whose diagonals are 5.2 cm and 6.4 cm.
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Draw a line segment AC = 5.2 cm
Draw perpendicular bisector of AC. Let it intersect AC at O.
With O as centre and radius equal to half of BD(3.2 cm) draw arcs on either side of AC on the perpendicular bisector. Let them intersect at B and D as shown.
Join points A, B; points B, C; points C, D and points A, D.
ABCD is the required rhombus.
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