In the given figure, AB = BD, BC = 20 cm and ∠D = 45°, the length of AC is : 1. 54.64 cm 2. 48.28 cm 3. 40 cm 4. 14.64 cm

We know that, sin θ = From figure, In △ BCD, ⇒ sin 45° = ⇒ ⇒ BD = m. From figure, ⇒ AB = BD = m ⇒ AC = AB + BC = = 28.28 + 20 = 48.28 cm. Hence, Option 2 is the correct option.