1.

Construct a rectangle PQRS with PQ=5.3 cm and a diagonal PR=5.8 cm.

Answer»

Solution :Step 1: Draw a line segement PQ=5.3 CM.
Step 2: At Q, Construct `anglePQX=90^(@)`
Step 3: Taking P as the center and 5.8 cm as radius, draw an ARC to cut `bar(QX)` at R.
Step 4: With R and Q as centers, 5.3 cm and 5.8 cm respectively as radii, draw two arcs to intersect each other at S.
Step 5: Join RS and PS to form the required rectangle PQRS.


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