Q. 14.6( 37 Votes )

# Construct the quadrilaterals with the given measurements. And write steps of construction.

Quadrilateral ABCD with AB = 5.5 cm, BC = 3.5 cm, CD = 4 cm, AD = 5 cm and ∠A = 45^{o}.

Answer :

GIVEN : In quadrilateral ABCD ,

AB = 5.5 cm

BC = 3.5 cm

CD = 4 cm

AD = 5 cm

∠A = 45^{o}

PROCEDURE :

Step 1 : Draw a rough sketch of the required quadrilateral and mark the given measurements.

Step 2 : Draw ΔDAB using S.A.S property of construction , by taking AD = 5 cm , ∠ DAB = 45° and AB = 5.5 cm.

Step 3 : To locate the fourth vertex ‘C’ , draw an arc , with center D and radius 4cm (CD=4cm).

Draw another arc with center B and radius 3.5 cm (BC=3.5cm) which cuts the previous arc at C.

Step 4: Join DC and BC to complete the required quadrilateral ABCD.

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