Mathematics

Construct a quadrilateral ABCD; if :

AB = 6 cm = AC, BC = 4 cm, CD = 5 cm and AD = 4.5 cm.

Quadrilaterals Constructions

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Answer

Steps:

  1. Draw AB = 6cm.

  2. Taking B as center, draw an arc of radius 4 cm (= BC) and taking A as center, draw one more arc of radius 6 cm (= diagonal AC). Let the two arcs intersect at point C.

  3. Taking C as center, draw an arc of radius 5 cm (= CD) and taking A as center, draw one more arc of radius 4.5 cm (= AD). Let the two arcs intersect at point D.

  4. Join AD and CD.

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

Hence, ABCD is the required quadrilateral.

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