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Mathematics

Construct a quadrilateral ABCD in which ∠A = 120°, ∠B = 60°, AB = 4 cm, BC = 4.5 cm and CD = 5 cm.

Quadrilaterals Constructions

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Answer

Steps:

  1. Draw AB = 4 cm.

  2. At A, construct ∠EAB = 120° and at B, construct ∠FBA = 60°.

  3. From FB, cut CB = 4.5 cm.

  4. With C as center, and radius = 5 cm cut an arc on line EA at point D.

  5. Join C and D.

Construct a quadrilateral ABCD in which ∠A = 120°, ∠B = 60°, AB = 4 cm, BC = 4.5 cm and CD = 5 cm. Constructions, Concise Mathematics Solutions ICSE Class 8.

Hence, ABCD is the required quadrilateral.

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