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 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 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 2019 Slot 2In a triangle ABCABCABC , medians ADADAD and BEBEBE are perpendicular to each other, and have lengths 12 cm12 \mathrm{~cm}12 cm and 9 cm9 \mathrm{~cm}9 cm, respectively. Then, the area of triangle ABCABCABC, in sq cm, is