CATGeometry > Mediumabr2a2+b2\frac{abr^2}{a^2+b^2}a2+b2abr2abr22(a2+b2)\frac{abr^2}{2(a^2+b^2)}2(a2+b2)abr22abr2a2+b2\frac{2abr^2}{a^2+b^2}a2+b22abr24abr2a2+b2\frac{4abr^2}{a^2+b^2}a2+b24abr2✅ Correct Option: 3Related questions:CAT 2020 Slot 2The sum of the perimeters of an equlateral triangle and a rectangle is 90 cm90 \mathrm{~cm}90 cm the area, TTT , of the triangle and the area, RRR , of the rectangle, both in sq cm, satisfy the relationship R=T2R=T^{2}R=T2. If the sides of the rectangle are in the ratio 1:31: 31:3, then the length, in cm , of the longer side of the rectangle, isCAT 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, 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 be