1. ## Hexagonal pyramid

The base of a regular hexagonal pyramid is 2 cm. The angle between the base and a side is 45°. I have to find:
1) The lenght of the longest diagonal of the base
2)The lenght of the shortest diagonal of the base
3)The side lenght of the pyramid
4) Altitude lenght
5) Volume

2. ## Re: Hexagonal pyramid

Originally Posted by jamiee
The base of a regular hexagonal pyramid is 2 cm.

What does this mean? Do you mean the length of each side is 2cm.?

The angle between the base and a side is 45°. I have to find:
A regular hexagon can be divided into 6 equilateral triangles. If each side has length 2 cm., the distance form each vertex to the center is also 2 cm and the distance from the center to the center of a side can be found by the Pythagorean theorem. Since a 45° right triangle has legs of the same length that is also the height of the pyramid. The side length is again the hypotenuse of a right triangle.

1) The lenght of the longest diagonal of the base
2)The lenght of the shortest diagonal of the base
3)The side lenght of the pyramid
4) Altitude lenght
5) Volume

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# how can a hexagonal pyramid be divided

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