Suppose you could climb to the top of the great pyramid. which route would be shorter, a route along a lateral edge or a route along the slant height of a side? which of these routes is steeper? explain your answers.

Consider a regular pyramid. A pyramid has slant height, altitude, base, and a lateral edge. The lateral edge is always greater than the slant height. Therefore, if you climb to the top of the Great Pyramid, the route that is shorter is a route along the slant height of a side. 

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