Question

1. The Pythagorean Theorem can be used to find distances between two points on a grid. But what about finding distances in three-dimensional space? Consider a rectangular box, which has length l, width w, and height h. What is the distance from one corner to the opposite corner in terms of l, w, and h?

2. Find an example of an equilateral hexagon whose sides are all square root of 13 units long. Give coordinates for all six points. [Hint: Think carefully about where to draw the hexagon on a coordinate grid.]


Answer 1

If someone could please give me an explanation, I'd be very grateful. I have no idea how to solve number 1, and I feel like I'm over thinking number 2.