Draw the following:

A rhombus whose diagonals are 5.2 cm and 6.4 cm long.

In a rhombus, diagonals bisect each other at 90º. Therefore, the given rhombus ABCD can be drawn as follows.

(1)A rough sketch of this rhombus ABCD is as follows.

(2) Draw a line segment AC of 5.2 cm and draw its perpendicular bisector. Let it intersect the line segment AC at point O.

(3) Draw arcs of on both sides of this perpendicular bisector. Let the arcs intersect the perpendicular bisector at point B and D.

(4) Join points B and D with points A and C.

ABCD is the required rhombus.

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