Q2 of 21 Page 67

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

Quadrilateral BEST with BE = 2.9 cm, ES = 3.2 cm, ST = 2.7 cm, BT = 3.4 cm and ∠B = 75o.

GIVEN : In quadrilateral ABCD ,

BE = 2.9 cm


ES = 3.2 cm


ST = 2.7 cm


BT = 3.4 cm


∠B = 45o


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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