CATGeometry > Medium2 s23\frac{2 \mathrm{~s}^{2}}{\sqrt{3}}32 s2s223\frac{s^{2}}{2 \sqrt{3}}23s23 s22\frac{\sqrt{3} \mathrm{~s}^{2}}{2}23 s2s23\frac{\mathrm{s}^{2}}{\sqrt{3}}3s2✅ Correct Option: 4Related questions:CAT 2017 Slot 2Let PPP be an interior point of a right-angled isosceles triangle ABCABCABC with hypotenuse ABABAB . If the perpendicular distance of P from each of AB,BCA B, B CAB,BC, and CAC ACA is 4(2−1)cm4(\sqrt{2}-1) \mathrm{cm}4(2−1)cm, then the area, in sq cm, of the triangle ABCA B CABC 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 2024 Slot 1ABCD is a rectangle with sides AB = 56 cm and BC = 45 cm, and E is the midpoint of side CD. Then, the length, in cm, of radius of in circle of △\triangle△ADE is