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Rectangle ABCD contains a point X such that AX = 1, BX = 7, CX = \(7\).  Find DX.

 Apr 4, 2022
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In triangle(XBC):  since BX = CX, this triangle is isosceles.

 

Therefore, angle(XBC) = angle(XCB).

 

Since ABCD is a rectangle, angle(B) and angle(C) are right angles.

 

Therefore, angle(ABX) = angle(DCX).

 

Triangle(ABX) is congruent to triangle(DCX):by SAS, making AX = DX.

 Apr 4, 2022

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