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!
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.