Q. 104.9( 17 Votes )

# Construct a quadrilateral PQRS in which PQ=6cm, QR=5.6cm, RS=2.7cm, ∠Q = 45° and ∠R = 90°.

Answer :

__Given__ :

PQ = 6 cm , QR = 5.6 cm , RS = 2.7 cm , ,

__Construction__ :

Step 1 : Draw segment PQ of length 6 cm.

Step 2 : Draw angle Q of 45 degrees.

Step 3 : Taking Q as centre draw arc of radius 5.6 cm which cuts the segment BX. Point of intersection is R.

Step 4 : Draw angle R of 90 degrees.

Step 5 : Taking R as centre draw arc of radius 2.7 cm which cuts the segment RY. Point of intersection is S.

Step 6 : Join PS.

PQRS is the required quadrilateral.

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