Question: Let a, b, c, and d be positive real numbers. The first octant of the plane ax + by + cz = d is shown
Let a, b, c, and d be positive real numbers. The first octant of the plane ax + by + cz = d is shown in the figure. Show that the surface area of this portion of the plane is equal to

where A(R) is the area of the triangular region R in the xy-plane, as shown in the figure.

A(R) C /a + b + c
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