Ask Question
14 February, 02:20

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?

+3
Answers (1)
  1. 14 February, 02:34
    0
    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.
Know the Answer?
Not Sure About the Answer?
Find an answer to your 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 ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers