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:2025 Slot 3A triangle ABC is formed with AB = AC = 50 cm and BC = 80 cm. Then, the sum of the lengths, in cm, of all three altitudes of the triangle ABC isCAT 2023 Slot 1In a right-angled triangle △ABC\triangle A B C△ABC, the altitude ABA BAB is 5 cm5 \mathrm{~cm}5 cm, and the base BCB CBC is 12 cm12 \mathrm{~cm}12 cm. PPP and QQQ are two points on BCB CBC such that the areas of △ABP,△ABQ\triangle \mathrm{ABP}, \triangle \mathrm{ABQ}△ABP,△ABQ and △ABC\triangle \mathrm{ABC}△ABC are in arithmetic progression. If the area of △ABC\triangle \mathrm{ABC}△ABC is 1.51.51.5 times the area of △ABP\triangle \mathrm{ABP}△ABP, the length of PQ in cm , isCAT 2017 Slot 1Let ABCA B CABC be a right-angled triangle with BCB CBC as the hypotenuse. Lengths of ABA BAB and AC are 15 km15 \mathrm{~km}15 km and 20krn20 \mathrm{krn}20krn, respectively. The minimum possible time, in minutes, required to reach the hypotenuse from A at a speed of 30 km30 \mathrm{~km}30 km per hour is