CATGeometry > Medium2 s23\frac{2 \mathrm{~s}^{2}}{\sqrt{3}}32 s2s223\frac{s^{2}}{2 \sqrt{3}}23s23 s22\frac{\sqrt{3} \mathrm{~s}^{2}}{2}23 s2s23\frac{\mathrm{s}^{2}}{\sqrt{3}}3s2✅ Correct Option: 4Related 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 2018 Slot 1In a circle with center OOO and radius 1 cm1 \mathrm{~cm}1 cm, an arc ABA BAB makes an angle 606060 degrees at OOO. Let RRR be the region bounded by the radii OA,OB\mathrm{OA}, \mathrm{OB}OA,OB and the arc ABABAB . If CCC and DDD are two points on OAOAOA and OBOBOB , respectively, such that OC=OD\mathrm{OC}=\mathrm{OD}OC=OD and the area of triangle OCDOCDOCD is half that of RRR , then the length of OCOCOC , in cm , is2025 Slot 2In a △ABC\triangle ABC△ABC, points DDD and EEE are on the sides BCBCBC and ACACAC, respectively. BEBEBE and ADADAD intersect at point TTT such that AD:AT=4:3AD:AT = 4:3AD:AT=4:3, and BE:BT=5:4BE:BT = 5:4BE:BT=5:4. Point FFF lies on ACACAC such that DFDFDF is parallel to BEBEBE. Then, BD:CDBD:CDBD:CD is