# CBSE Class 8 Answered

**Construct a rhombus, the lengths of whose diagonals are 7 cm and 9 cm.**

Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM

Expert Answer

We know that the diagonals of a rhombus bisect each other at right angles.

Let AC = 9 cm and BD = 7 cm

Steps of construction:

i) Draw AC = 9 cm.

ii) Draw the perpendicular bisector XY of AC, meeting AC at O.

iii) From O, cut off OB = (7 cm) = 3.5 cm along OY and OD = (7 cm) = 3.5 cm along OX.

iv) Join AB, BC, CD and DA.

ABCD is the required rhombus.

Answered by | 04 Jun, 2014, 03:23: PM

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