Answer :

GIVEN : In quadrilateral ABCD ,

BE = 2.9 cm

ES = 3.2 cm

ST = 2.7 cm

BT = 3.4 cm

∠B = 45^{o}

PROCEDURE :

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

Step 2 : Draw ΔTBE using S.A.S property of construction , by taking BT = 3.4 cm , ∠ TBE = 75° and BE = 2.9 cm.

Step 3 : To locate the fourth vertex ‘S’ , draw an arc , with center T and radius 2.7cm (TS=2.7cm).

Draw another arc with center E and radius 3.2 cm (ES=3.2cm) which cuts the previous arc at S.

Step 4: Join TS and ES to complete the required quadrilateral BEST.

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