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प्रश्न
Construct a quadrilateral ABCD, in which AB = BC = 3 cm, AD = 5 cm, ∠A = 90° and ∠B = 105°.
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उत्तर
Steps of construction:
Step I: Draw AB = 3 cm .
Step II: Construct ∠DAB = 90° at A .
Step III : With A as the centre and radius 5 cm, cut off AD = 5 cm .
Step IV: Construct ∠ABC = 105° at B .
Step V : With B as the centre and radius 3 cm, cut off BC = 3 cm .
Step VI: Join CD .
The quadrilateral so obtained is the required quadrilateral .
संबंधित प्रश्न
Construct the following quadrilaterals.
Quadrilateral MORE
MO = 6 cm
OR = 4.5 cm
∠M = 60°
∠O = 105°
∠R = 105°
Construct the following quadrilaterals.
Quadrilateral PLAN
PL = 4 cm
LA = 6.5 cm
∠P = 90°
∠A = 110°
∠N = 85°
Construct the following quadrilaterals.
Parallelogram HEAR
HE = 5 cm
EA = 6 cm
∠R = 85°
Construct a quadrilateral ABCD in which AB = 3.8 cm, BC = 3.0 cm, AD = 2.3 cm, AC = 4.5 cm and BD = 3.8 cm.
Construct a quadrilateral ABCD in which AB = BC = 6 cm, AD = DC = 4.5 cm and ∠B = 120°.
Construct a quadrilateral ABCD, where AB = 4.2 cm, BC = 3.6 cm, CD = 4.8 cm, ∠B = 30° and ∠C = 150°.
Construct a quadrilateral ABCD given that AB = 4 cm, BC = 3 cm, ∠A = 75°, ∠B = 80° and ∠C = 120°.
Construct a quadrilateral PQRS, where PQ = 3.5 cm, QR = 6.5 cm, ∠P = ∠R = 105° and ∠S = 75°.
Construct a quadrilateral ABCD, where ∠A = 65°, ∠B = 105°, ∠C = 75° BC = 5.7 cm and CD = 6.8 cm.
______ measurements can determine a quadrilateral uniquely.
