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Mathematics

Construct a quadrilateral ABCD; if :

AB = 4.3 cm, BC = 5.4 cm, CD = 5 cm, DA = 4.8 cm and angle ABC = 75°.

Quadrilaterals Constructions

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Answer

Steps:

  1. Draw AB = 4.3 cm.

  2. At B, construct angle PBA = 75°.

  3. From PB cut BC = 5.4 cm.

  4. With A as center and radius equal to 4.8 cm, draw an arc.

  5. With C as center and radius equal to 5 cm, draw an arc which intersects the arc drawn in step 4 at D.

  6. Join DA and DC.

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

Hence, ABCD is the required quadrilateral.

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