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 1Given an equilateral triangle T1\mathrm{T} 1T1 with side 24 cm24 \mathrm{~cm}24 cm, a second triangle T2\mathrm{T} 2T2 is formed by joining the midpoints of the sides of T1\mathrm{T} 1T1. Then a third triangle T3\mathrm{T} 3T3 is formed by joining the midpoints of the sides of T2\mathrm{T} 2T2. If this process of forming triangles is continued, the sum of the areas, in sq cm , of infinitely many such triangles T1, T2, T3,…\mathrm{T} 1, \mathrm{~T} 2, \mathrm{~T} 3, \ldotsT1, T2, T3,… will beCAT 2022 Slot 2The length of each side of an equilateral triangle ABC is 3 cm3 \mathrm{~cm}3 cm. Let D be a point on BC such that the area of triangle ADC is half the area of triangle ABDA B DABD. Then the length of ADA DAD, in cm , is