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 2023 Slot 1In a right-angled triangle △ABC\triangle A B C△ABC, the altitude ABA BAB is 5 cm5 \mathrm{~cm}5 cm, and the base BCB CBC is 12 cm12 \mathrm{~cm}12 cm. PPP and QQQ are two points on BCB CBC such that the areas of △ABP,△ABQ\triangle \mathrm{ABP}, \triangle \mathrm{ABQ}△ABP,△ABQ and △ABC\triangle \mathrm{ABC}△ABC are in arithmetic progression. If the area of △ABC\triangle \mathrm{ABC}△ABC is 1.51.51.5 times the area of △ABP\triangle \mathrm{ABP}△ABP, the length of PQ in cm , isCAT 2018 Slot 2A triangle ABCABCABC has area 323232 sq units and its side BCBCBC , of length 888 units, lies on the line x=4\mathrm{x}=4x=4. Then the shortest possible distance between AAA and the point (0,0)(0,0)(0,0) is2025 Slot 3In △ABC\triangle ABC△ABC, AB=AC=12AB=AC=12AB=AC=12 cm and D is a point on side BC such that AD=8AD=8AD=8 cm. If AD is extended to a point E such that ∠ACB=∠AEB\angle ACB=\angle AEB∠ACB=∠AEB, then the length, in cm, of AE is