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Chapter 12: Q17. (page 484)

Can the slant height of a regular pyramid be greater than the length of a lateral edge? Explain.

Short Answer

Expert verified

No, the slant height of a regular pyramid cannot be greater than the length of a lateral edge.

Step by step solution

01

Step 1. Given information.

Given statement:

鈥淭he slant height of a regular pyramid can be greater than the length of a lateral edge.鈥�

02

Step 2. Explanation.

In a face of the regular pyramid, the slant height is the perpendicular distance from the vertex to the base of the face.

The perpendicular distance is always shorter than all other distances and in the same face the lateral edge is not the perpendicular distance.

Therefore, the slant height of a regular pyramid cannot be greater than the length of a lateral edge.

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