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in Construction of Quadrilaterals by (48.4k points)
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Construct a quadrilateral ABCD in which AB = BC = 3 cm., AD = 5 cm., ∠A = 90° and ∠B = 105°.

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Best answer

First of all we draw a rough sketch of the given measurements :

Steps of Construction

  1. First of all we draw a line segment AB = 3 cm.
  2. At point A we construct ∠BAX = 90° with AB and cut AD = 5.0 cm.
  3. Similarly, we construct at point B, ∠ABY = 105° with AB and an arc of 3 cm. on BY is cut. Mark this point as C.
  4. Join CD.

Thus, we obtained the required quadrilateral ABCD.

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