Q1 of 21 Page 77

Construct following quadrilaterals-

Quadrilateral PQRS with PQ = 3.6cm, QR = 4.5 cm, RS = 5.6cm, ∠PQR = 135o and ∠QRS = 60o.

GIVEN : In Quadrilateral PQRS,

PQ = 3.6cm


QR = 4.5 cm


RS = 5.6 cm


∠PQR = 135o and ∠QRS = 60o


PROCEDURE :


Step1 : draw a rough sketch and mark the measurements given.



Step 2 : draw ΔPQR using SAS construction rule with measures PQ = 3.6cm, ∠PQR = 135o and QR = 4.5 cm.



Step 3 : construct ∠R = 60° and draw RY.



Step 4 : with center ‘R’ and radius 5.6cm (RS = 5.6 cm) draw an arc to intersect RY at S. Join P,S . PQRS is the required quadrilateral.



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