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 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 2024 Slot 3The midpoints of sides ABABAB, BCBCBC, and ACACAC in △ABC\triangle ABC△ABC are MMM, NNN, and PPP, respectively. The medians drawn from AAA, BBB, and CCC intersect the line segments MPMPMP, MNMNMN and NPNPNP at XXX, YYY, and ZZZ, respectively. If the area of △ABC\triangle ABC△ABC is 144014401440 sq cm, then the area, in sq cm, of △XYZ\triangle XYZ△XYZ is2025 Slot 3In △ABC\triangle ABC△ABC, AB=AC=12AB=AC=12AB=AC=12 cm and D is a point on side BC such that AD=8AD=8AD=8 cm. If AD is extended to a point E such that ∠ACB=∠AEB\angle ACB=\angle AEB∠ACB=∠AEB, then the length, in cm, of AE is