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प्रश्न
Construct a quadrilateral PQRS, in which PQ = 3.5 cm, QR = 2.5 cm, RS = 4.1 cm, ∠Q = 75° and ∠R = 120°.
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उत्तर
Steps of construction:
Step I: Draw QR = 2 . 5 cm .
Step II: Construct ∠PQR = 75° at Q . \]
Step III : With Q as the centre and radius 3 . 5 cm, cut off QP = 3 . 5 cm .
Step IV: Construct ∠QRS = 120° at R .
Step V : With R as the centre and radius 4 . 1 cm, cut off RS = 4 . 1 cm .
Step VI: Join PS
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°
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Construct a quadrilateral ABCD, in which AB = 6 cm, BC = 4 cm, CD = 4 cm, ∠B = 95° and ∠C = 90°.
Construct a quadrilateral PQRS, in which ∠Q = 45°, ∠R = 90°, QR = 5 cm, PQ = 9 cm and Rs = 7 cm.
Construct a quadrilateral ABCD, in which AB = BC = 3 cm, AD = 5 cm, ∠A = 90° and ∠B = 105°.
Construct a quadrilateral BDEF, where DE = 4.5 cm, EF = 3.5 cm, FB = 6.5 cm, ∠F = 50° and ∠E = 100°.
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______ measurements can determine a quadrilateral uniquely.
A quadrilateral can be constructed uniquely if three angles and any two sides are given.
