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Question
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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Solution
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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