Construct quadrilaterals for measurements given below:

A rhombus CART with CR = 6 cm, AT = 4.8 cm

GIVEN : In rhombus CART,

CR = 6 cm

AT = 4.8 cm (diagonals)

PROCEDURE :

Step 1 : draw a rough sketch of rhombus CART and mark th given measurements.

The diagonals of a rhombus bisect each other perpendicularly.

CR and AT are diagonals of the rhombus CART which bisect each other at ‘O’ ie. ∠ COA = 90° and AO = OT = = = 2.4cm.

Step 2 : draw CR = 6cm (one diagonal of the rhombus CART) and draw a perpendicular bisector XY of it and mark the point of intersection as ‘O’.

Step 3 : as the other diagonal AT is perpendicular to CR , AT is a part of XY. So, with center ‘O’ and radius 2.4 cm (AO = OT = 2.4cm) draw 2 arcs on either sides of CR to cut XY at A and T.

Step 4 : join C,A ;A,R ; R,T ; C,T to complete the required rhombus CART.