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Question

Construct the quadrilateral PQRS with PQ=3.5cm,QR=4cm,RS=5cm.PS=4.5cm and QS=6.5cm.

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Solution


Steps for construction :

Step 1. Draw a line segment PQ=3.5 cm.
Step 2. With P as centre and radius =4.5 cm, draw an arc.
Step 3. With Q as centre and radius =6.5 cm, draw an arc to cut the arc in the previous step at point S
Step 4. Join PS and QS
Step 5. With S as centre and radius =5 cm, draw an arc.
Step 3. With Q as centre and radius =4 cm, draw an arc to cut the arc in the previous step at point R
Step 4. Join SR and QR

Hence, required quadrilateral PQRS is constructed.

1690569_568607_ans_39002c4761c7437c9651db38dd6c4785.jpg

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