Mathematics

Construct a rectangle ABCD; if:

AB = 5.0 cm and diagonal AC = 6.7 cm.

Quadrilaterals Constructions

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Answer

Steps:

  1. Draw AB = 5 cm.

  2. At B, construct angle PBA = 90°.

  3. Taking A as centre, draw an arc of radius 6.7 cm (= AC) which cuts BP at point C.

  4. Taking C as centre, draw an arc of radius 5 cm (= AB) and taking A as centre draw another arc of radius equal to BC. Let these two arcs intersect at point D.

  5. Join AD and CD.

Construct a rectangle ABCD; if: Constructions, Concise Mathematics Solutions ICSE Class 8.

Hence, ABCD is the required rectangle.

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