Rectangle ABCD contains a point X such that AX = 1, BX = 7, CX = \(7\). Find DX.
+1632 To give a more detailed explanation, since point X is an interior point in rectangle ABCD, and since BX = CX, then triangle BCX is an isosceles triangle. Since ABCD is a rectangle, point X must lie on the line of symmetry of the perpendicular bisector of BC. Thus, ADX is also an isosceles triangle where AX = DX. Because AX = 1, then DX must also be equal to 1.
Therefore, DX = 1. 
