Question

Construct PQRS such that I(PQ)= 5.6 cm, (QR)=5.4cm, I(PS=3.9cm,l(RS)=6.9cm,
I(QS)=6.5cm.​

Answer 1

Answer:

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Answer 2

Given :   I(PQ)= 5.6 cm, (QR)=5.4cm, (PS=3.9cm,l(RS)=6.9cm, (QS)=6.5cm​

To Find :   Construct   PQRS

Solution:

Step 1 : Draw a line segment PQ = 5.6 cm

Step 2 : Using  compass width = 3.9 cm and taking P as center draw an arc

Step 3: Using  compass width = 6.5 cm and taking Q as center draw an arc such that it intersects arc drawn in previous step at S

Step 4 :  Join PS

Step 5 : Using  compass width = 6.9 cm and taking S as center draw an arc

Step 6: Using  compass width = 5.4 cm and taking Q as center draw an arc such that it intersects arc drawn in previous step at R

Step 7 :  Join RS and QR

Quadrilateral PQRS is constructed.

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