Q. 34.6( 15 Votes )

# Construct quadrilateral with the measurements given below:

Parallelogram ABCD with AB = 6cm, BC = 4.5 cm and BD = 7.5 cm

Answer :

GIVEN : In Parallelogram ABCD ,

AB = 6 cm

BD = 7.5 cm

BC = 4.5 cm

PROCEDURE :

Step 1 : draw a rough sketch of the Parallelogram ABCD with the given measurements.

Here , we are given only 3 measurements. But as ABCD is a parallelogram , we can also write that AB = CD = 6 cm and BC = AD = 4.5 cm.

Step 2 : Construct ΔABD with AB = 4.5 cm , AD = 4.5 cm and BD = 7.5 cm.

Step 3 : we have to locate the 4^{th} vertex ‘C’ . it would be on the other side of BD. So , with center B and radius 4.5 cm(BC = 4.5 cm) draw an arc and with center D and radius 6 cm (CD = 6 cm) draw another arc to cut the previous arc at C.

Step 4 : join C,B and C,D to complete the quadrilateral ABCD.

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