Question

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

Answer 1

We know that, diagonals of a rectangle and opposite sides are equal.

All the angles of rectangle are right angle.

So, AC = 5 cm

AB = 3 cm

Steps of construction:

Step I: Draw AB = 3 cm.

Step II: Draw a ray BX such that ∠ABX = 90°.

Step III: Draw an arc such that AC = 5 cm.

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 intersect first arc at a point, suppose D.

Step V: Join CD and AD.

Hence, ABCD is the required rectangle.