Question

Construct a rectangle whose one side is 3 cm and a diagonal is equal to 5 cm.
[3 marks]

Answer 1

We know that, diagonals of a rectangle and opposite sides are equal.
All the angles of the rectangle are the right angles.
So, AC = 5 cm
AB = 3 cm
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Steps of Construction
Step I: Draw AB = 3 cm.
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Step II: Draw ray BX such that $\angle ABX={90}^{\circ }$.
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Step III: Draw an arc such that AC = 5 cm.
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Step IV: With B as centre, draw an arc of radius 5 cm. With C as centre, draw another arc of radius 3 cm which intersects the first arc at a point, suppose D.
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Step V: Join CD and AD.
Thus, ABCD is required rectangle.
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