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 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 , isCAT 2020 Slot 2From an interior point of an equilateral triangle, perpendiculars are drawn on all three sides. The sum of the lengths of the three perpendiculars is sss. Then the area of triangle is