Construct a quadrilateral PQRS in which QR=7.5cm, PR=PS=6cm, RS=5cm, QS=10cm. Measure the fourth side.

Given :

QR = 7.5 cm , PR = PS = 6 cm , RS = 5 cm , QS = 10 cm.

Construction :

Step 1 : Draw segment QR of length 7.5 cm.

Step 2 : Taking Q as centre draw an arc of radius 10 cm.

Step 3 : Taking R as centre draw an arc of radius 5 cm, which cuts the arc drawn in step 2. Point of intersection of two arcs is S.

Step 4 : Join QS and SR.

Step 5 : Taking R as centre draw an arc of radius 6 cm.

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

Step 7 : Join PQ , PR and PS.

Step 8 : Measure length of PQ .

Length of fourth side PQ = 4.7 cm.

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