Question

The line segment formed by connecting vertices E and B is 17 units long, the line segment formed by connecting vertices G and E is 13 units long, and the line segment formed by connecting vertices H and A is 17 units long.

If the rectangular prism is sliced by a plane that passes through vertices H, C, and A, which of the following best describes the resulting cross-section of the prism?

Answer 1

h

Explanation:

Answer 2

Answer: A triangle with side lengths of 17 units, 14 units, and 17 units

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.