Question

Construct a quadrilateral PQRS in which PQ = 5.4cm, QR = 4.6cm, RS = 4.3cm, SP = 3.5cm and diagonal PR = 4cm.

Answer 1

Given :

PQ = 5.4 cm , QR = 4.6 cm , RS = 4.3 cm , SP = 3.5 cm , PR = 4 cm.

Construction :

Step 1 : Draw segment PQ of length 5.4 cm.

Step 2 : Taking P as centre draw an arc of radius 4 cm.

Step 3 : Taking Q as centre draw an arc of radius 4.6 cm, which cuts the arc drawn in step 2. Point of intersection of two arcs is R.

Step 4 : Join PR and QR.

Step 5 : Taking P as centre draw an arc of radius 3.5 cm.

Step 6 : Taking R as centre draw an arc of radius 4.3 cm, which cuts the arc drawn in step 5. Point of intersection of two arcs is S.

Step 7 : Join PS and RS.

PQRS is the required quadrilateral.