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प्रश्न
Construct a quadrilateral PQRS, in which PQ = 4 cm, QR = 5 cm, ∠P = 50°, ∠Q = 110° and ∠R = 70°.
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उत्तर
\[\text { Steps of construction: }\]
\[\text { Step I: Draw PQ = 4 cm }. \]
\[\text { Step II: Construct } \angle XPQ = 50^\circ \text { at P and } \angle PQY = 110^\circ \text { at Q }. \]
\[\text { Step III : With Q as the centre and radius 5 cm, cut off QR = 5 cm } . \]
\[\text { Step IV: At R, draw } \angle QRZ = 70^\circ \text { such that it meets PX at S } . \]
The quadrilateral so obtained is the required quadrilateral .
संबंधित प्रश्न
Construct the following quadrilaterals.
Rectangle OKAY
OK = 7 cm
KA = 5 cm
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Construct a quadrilateral ABCD, given that AB = 8 cm, BC = 8 cm, CD = 10 cm, AD = 10 cm and ∠A = 45°.
Construct a quadrilateral ABCD in which AB = BC = 3 cm, AD = CD = 5 cm, and ∠B = 120°.
Construct a quadrilateral ABCD in which AB = BC = 6 cm, AD = DC = 4.5 cm and ∠B = 120°.
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, 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°.
Construct a quadrilateral ABCD, where AB = 5.5 cm, BC = 3.7 cm, ∠A = 60°, ∠B = 105° and ∠D = 90°.
Is it possible to construct a quadrilateral ROAM in which RO = 4 cm, OA = 5 cm, ∠O = 120°, ∠R = 105° and ∠A = 135°? If not, why?
