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