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in Construction of Quadrilaterals by (48.4k points)
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Construct a quadrilateral ABCD in which ∠B = 135°, ∠C = 90°, BC = 5.0 cm., AB = 9.0 cm. and CD = 7.0 cm.

1 Answer

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by (49.3k points)
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Best answer

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

Steps of Construction

  1. First of all a line segment, AB = 9.0 cm in drawn.
  2. Construct ∠ABC = 135° at B with BX cut an arc of 5.0 cm from BX. Mark this points as C.
  3. Also at point C, make an angle of 90° by a ray CY and cut an arc of 7.0 cm mark this point at D.
  4. Join AD.
  5. Thus, we obtained a required quadrilateral ABCD.

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