Let ABCD be a tetrahedron such that the edges AB, AC and AD are mutually perpendicular. Let the areas of the triangles ABC, ACD and ADB be 5,6 and 7 square units respectively. Then the area (in square units) of the \(∆\mathrm{BCD}\) is equal to :

[JEE Main 2025, 2 Apr (Shift 1)]

Question

Let ABCD be a tetrahedron such that the edges AB, AC and AD are mutually perpendicular. Let the areas of the triangles ABC, ACD and ADB be 5,6 and 7 square units respectively. Then the area (in square units) of the \(∆\mathrm{BCD}\) is equal to :

[JEE Main 2025, 2 Apr (Shift 1)]

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Let ABCD be a tetrahedron such that the edges AB, AC and AD are mutually perpendicular. Let the areas of the triangles A…

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