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प्रश्न
Using ruler and compasses only, construct the quadrilateral ABCD, having given AB = 5 cm, BC = 2.5 cm, CD = 6 cm. angle BAD = 90o and the diagonal AC = 5.5 cm.
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उत्तर

Steps:
1. draw AB = 5cm.
2. Now draw ∠XAB such that it is 90°.
3. Taking A and B as a center and radius 2.5 cm and 5.5 cm draw arcs cut off at C.
4. Now join BC and AC.
5. Taking C as a center and radius 6 cm draw arcs at D on AX.
ABCD is the required quadrilateral.
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संबंधित प्रश्न
Construct the following quadrilateral of given measures.
In ☐ ABCD l(AB) = 6.4 cm, l(BC) = 4.8 cm, m∠A = 70°, m∠B = 50°, m∠C = 140°.
Construct a quadrilateral ABCD, when:
AB = 7.2 cm, BC = 5.8 cm, CD = 6.3 cm, AD = 4.3 cm and angle A = 75°.
Construct a quadrilateral ABCD, when:
BC = 7.5 cm AC = 5.8 cm, AD = 3.6 cm, CD = 4.2 cm and angle A = 120°.
Construct a quadrilateral ABCD, when:
AD = AB = 4 cm, BC = 2.8 cm, CD = 2.5 cm and angle BAD = 45°.
Using ruler and compasses only, construct the quadrilateral ABCD, having given AB = 5 cm, BC = 2.5 cm CD = 6 cm, ∠BAD = 90o and diagonal BD = 5.5 cm.
Construct a quadrilateral ABCD; if:
AB = 6 cm, CD = 4.5 cm, BC = AD = 5 cm and ∠BCD = 60°.
Construct a quadrilateral ABCD; if:
AB = 8 cm, BC = 5.4 cm, AD = 6 cm, ∠A = 60° and ∠B = 75°.
Construct a quadrilateral ABCD; if:
AB = AD = 5cm, BD = 7 cm and BC = DC = 5.5 cm
Construct a quadrilateral ABCD in which ; ∠A = 120°, ∠B = 60°, AB = 4 cm, BC = 4.5 cm and CD = 5 cm.
Construct a quadrilateral ABCD in which
AD = AB = 5cm, BC = 3.8cm, CD = 3.5cm, and ∠BAD = 45°
