CATGeometry > Medium(π4)12\left(\frac{\pi}{4}\right)^{\frac{1}{2}}(4π)21(π33)12\left(\frac{\pi}{3 \sqrt{3}}\right)^{\frac{1}{2}}(33π)21(π6)12\left(\frac{\pi}{6}\right)^{\frac{1}{2}}(6π)21(π43)12\left(\frac{\pi}{4 \sqrt{3}}\right)^{\frac{1}{2}}(43π)21✅ Correct Option: 2Related questions:CAT 2022 Slot 3Two ships are approaching a port along straight routes at constant speeds. Initially, the two ships and the port formed an equilateral triangle with sides of length 242424 km. When the slower ship travelled 888 km, the triangle formed by the new positions of the two ships and the port became right-angled. When the faster ship reaches the port, the distance, in km, between the other ship and the port will beCAT 2017 Slot 2Let PPP be an interior point of a right-angled isosceles triangle ABCABCABC with hypotenuse ABABAB . If the perpendicular distance of P from each of AB,BCA B, B CAB,BC, and CAC ACA is 4(2−1)cm4(\sqrt{2}-1) \mathrm{cm}4(2−1)cm, then the area, in sq cm, of the triangle ABCA B CABC isCAT 2020 Slot 2The sum of the perimeters of an equlateral triangle and a rectangle is 90 cm90 \mathrm{~cm}90 cm the area, TTT , of the triangle and the area, RRR , of the rectangle, both in sq cm, satisfy the relationship R=T2R=T^{2}R=T2. If the sides of the rectangle are in the ratio 1:31: 31:3, then the length, in cm , of the longer side of the rectangle, is