Answer: A triangle with side lengths of 17 units, 14 units, and 17 units
Step-by-step explanation:
Below, the rectangular prism is sliced by a plane that passes through vertices H, C, and A.
The cross-section created by the plane is a triangle with side lengths equal to the lengths of the line segments that connect vertices H and C, C and A, and H and A. Since the four rectangular faces are congruent, and the two square faces are congruent, the following is true.
HC = EB = 17 units
CA = GE = 14 units
The length of the line segment formed by connecting vertices H and A is given to be 17 units long.
Therefore, if the rectangular prism is sliced by a plane that passes through vertices H, C, and A, a triangle with side lengths of 17 units, 14 units, and 17 units will be formed.
