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प्रश्न
Construct a quadrilateral PQRS, where PQ = 3.5 cm, QR = 6.5 cm, ∠P = ∠R = 105° and ∠S = 75°.
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उत्तर
We know that the sum of all the angles in a quadrilateral is 360 .
i . e . , ∠P + ∠Q + ∠R + ∠S = 360°
⇒ ∠Q = 75°
Steps of construction:
Step I: Draw PQ = 3 . 5 cm .
Step II: Construct ∠XPQ = 105° at P and ∠PQY = 75° at Q .
Step III: With Q as the centre and radius 6 . 5 cm, cut off QR = 6 . 5
Step IV: At R, draw ∠QRZ = 105° such that it meets PX at S .
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 PQ = 3.5 cm, QR = 2.5 cm, RS = 4.1 cm, ∠Q = 75° and ∠R = 120°.
Construct a quadrilateral ABCD when BC = 5.5 cm, CD = 4.1 cm, ∠A = 70°, ∠B = 110° and ∠D = 85°.
Construct the following quadrilaterals with the given measurements and also find their area.
AGRI, AG = 4.5 cm, GR = 3.8 cm, ∠A = 60°, ∠G = 110° and ∠R = 90°
In a parallelogram PQRS, if ∠P = 60°, then other three angles are ______.
To construct a unique parallelogram, the minimum number of measurements required is ______.
______ measurements can determine a quadrilateral uniquely.
A quadrilateral can be constructed uniquely if three angles and any two sides are given.
