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Sum

Construct a rectangle ABCD; if :

AB = 5.0 cm and diagonal AC = 6.7 cm.

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#### Solution

Steps :

- Draw AB = 5 cm.
- At B, draw ∠XBA = 90°.
- From A, draw an arc of radius 6.7 cm which meets XB at C.
- From C, draw an arc of a radius of 5 cm.
- From A, draw an arc of radius equal to BC which meets the first arc at D.
- Join AD and CD. Thus ABCD is the required rectangle.

Concept: Construction of a Rectangle When Its Length and Breadth Are Given.

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