Thread: Hexagon Pyramid thingys.

There is a pyramid. The apex is V. It has a base of a regular hexagon with sides 2cm. The sloping sides have length of 6cm. O is the centre of the base. Calculate the height of V above the base of the pyramid. Give answer to 3 significant figures.

Originally Posted by Mukilab

There is a pyramid. The apex is V. It has a base of a regular hexagon with sides 2cm. The sloping sides have length of 6cm. O is the centre of the base. Calculate the height of V above the base of the pyramid. Give answer to 3 significant figures.

The hexagon is made of six equilateral triangles.
Each side has length 2.
If you make a sketch, you can see that the sloping side becomes the hypotenuse of a right triangle with length 6. The base is the dimension 2.

Should be no problem to determine the remaining side of the right triangle.