Construct quadrilateral with the measurements given below:

Rhombus NICE with NI = 4 cm and IE = 5.6 cm

GIVEN : In Rhombus NICE,

NI = 4 cm

IE = 5.6 cm

PROCEDURE :

Step 1 : draw a rough sketch of the rhombus. Hence all the sides are equal , so , NI = IC = CE = NE = 4 cm and mark the given measurements.

Step 2 : draw ΔNIE using SSS construction with measures NI = 4cm , IE= 5.6 cm and EN = 4cm.

Step 3 : we have to locate the 4^th vertex ‘C’ . it would be on the other side of IE. So , with center I and radius 4 cm(IC = 4 cm) draw an arc and with center E and radius 4 cm (EC = 4 cm) draw another arc to cut the previous arc at C.

Step 4 : Join I,C and C,E to complete the required Rhombus NICE.