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Practical Geometry

Short Answer Type

51. Construct a quadrilateral ABCD, where AB = 4.3 cm, BC = 5.2 cm. CD = 6.5 cm, ∠B = 105° and ∠C = 60°.

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52. Construct a quadrilateral PQRS where PQ = 5.4 cm. ∠P = 60°, ∠Q = 105°, ∠R = 75° and ∠S = 120°.

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Long Answer Type

53. Construct a quadrilateral ABCD such that AB = 4.5 cm, BC = 3.2 cm, CD = 5 cm, DA - 2.6 cm and BD = 4.5 cm.

Steps of construction:
I. Draw a line AB = 4.5 cm.
II. With centre A and radius = 2.6 cm, draw an arc.
III. With centre B and radius = 4.5 cm, draw another arc such that it intersects the previous arc at D.
IV. With centre D and radius = 5 cm, draw an arc.
V. Again with centre B and radius = 3.2 cm, draw another arc to intersect the previous arc at C.
VI. Join AD, BC and DC.
Thus, ABCD is the required quadrilateral.
Steps of construction:I. Draw a line AB = 4.5 cm.II. With centre A an