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 2024 Slot 2The coordinates of the three vertices of a triangle are: (1,2)(1, 2)(1,2), (7,2)(7, 2)(7,2), and (1,10)(1, 10)(1,10). Then the radius of the in circle of the triangle 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 is