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 2017 Slot 1From a triangle ABCABCABC with sides of lengths 404040 ft, 252525 ft and 353535 ft, a triangular portion GBCGBCGBC is cut off where GGG is the centroid of ABCABCABC. The area, in sq ft, of the remaining portion of triangle ABCABCABC 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