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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. angle BAD = 90o and the diagonal AC = 5.5 cm.
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Solution
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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