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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, ∠BAD = 90o and diagonal BD = 5.5 cm.
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उत्तर

Steps:
1.Draw AB = 5cm.
2. From A draw a line AY such that ∠A =90°.
3. Taking B as a center with radius 5.5 cm draw an arc at D on AY.
4. With D and B as center and radii, 6 cm and 2.5 cm draw arcs cutting each other at C.
5. Join DC and BC.
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°.
Draw a square WXYZ with side 5.2 cm.
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:
∠ A = 90o, AB = 4.6 cm, BD = 6.4 cm, AC = 6.0 cm and CD = 4.2 cm.
Construct a quadrilateral ABCD, when:
AB = 3.8 cm, AC = 4.8 cm, AD = 2.8 cm, angle A = 105° and angle B = 60°.
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 in which ; ∠A = 120°, ∠B = 60°, AB = 4 cm, BC = 4.5 cm and CD = 5 cm.
Construct a quadrilateral ABCD in which
AB = 4.8cm, AC = 5.8cm, AD = 3.6cm, ∠A = 105° and ∠B = 60°
Construct a quadrilateral ABCD in which
AD = AB = 5cm, BC = 3.8cm, CD = 3.5cm, and ∠BAD = 45°
