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Question

Construct a quadrilateral ABCD in which AB = 4 cm, AC = 5 cm, AD = 5.5 cm and ∠ABC = ∠ACD = 90°.

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Solution


Steps of construction:
Step 1: Draw AB=4cm
Step 2: Make B=90
Step 3: AC2=AB2+BC252=42+BC225-16=BC2BC=3cm
With B as the centre, draw an arc equal to 3 cm.
Step 4: Make C=90
Step 5: With A as the centre and radius equal to 5.5 cm, draw an arc and name that point as D.
Then, ABCD is the required quadrilateral.

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