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In the quadrilateral ABCD shown below, ∠A = ∠C = 90% ∠ABD = 45° ∠CDB = 60° and AB = 6cm.Find out the lengths of the other sides of the quadrilateral. |
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Answer» In ΔABD, The angles are 45°, 45°, 90° As the triangle is equilateral, sides are in the ratio, 1: 1: √2 AB = 6cm ∴ AD = 6cm, BD = 6√2cm \(CD=\frac{6\sqrt{2}}{2}=3\sqrt{2}\) \(BC=3\sqrt{2}\times\sqrt{3}=3\sqrt{6}\) |
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