A cube whose side length is 5 is shown below. Let P be on edge AB such that AP = 2, and let Q be on edge AE such that

AQ = 1.

The plane passing through points C, P, and Q intersects DH at R. Find the length DR.

This has been asked here before: https://web2.0calc.com/questions/cube-question-help, but the answer can't be seen because tinypic doesn't work, and I don't really think coordinate geo was meant for this problem.

Thanks in advance for your help!

Also, here is a hint: Let the plane through C, P, and Q intersect the extension of DA at S. What can you say about the diagram? Which two-dimensional figures can you work with?

Guest Feb 13, 2021

edited by
Guest
Feb 13, 2021

edited by Guest Feb 13, 2021

edited by Guest Feb 13, 2021

edited by Guest Feb 13, 2021

edited by Guest Feb 13, 2021

edited by Guest Feb 13, 2021

edited by Guest Feb 13, 2021