Hey y'all,

Can someone please explain how to do this question? I've been stuck on it for a few days no, and I've made aboslutely no ground.

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 G, P, Q and intersects DH at . Find the length DR.

Oh and, if possible, explain the answer step by step.

Any help is appreciated!

Guest Jan 16, 2023

#3**0 **

To find the length of DR, we can use the Pythagorean theorem. We know that the length of AC is 5 and the length of AQ is 1. Using the Pythagorean theorem, we can find that the length of CQ is 4. Now we know that CR is a right triangle, we can use the Pythagorean theorem again. We know that the length of CQ is 4 and the length of DR is unknown. Applying the Pythagorean theorem, DR = sqrt(5^2-4^2) = sqrt(9) = 3. so, DR = 3.

Guest Jan 18, 2023