Question

2. Construct a quadrilateral ABCD given that AB = 7cm, BC = 3cm, CD = 5cm, AD = 4cm

and diagonal AC = 7cm.

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Answer 1

Answer:

AB + AD = 3 + 6 = 9 cm which is equal to third side BD, 9 cm. According to triangle property, third side is not grater than the sum of the other two sides. Hence, we cannot construct ∆ as well as the quadrilateral based on the given measurements.