Posted by **Frost Boost** on Sunday, November 30, 2008 at 12:45pm.

ABCA1B1C1 is a prism which has regular triangles in the bases. The side of the prism has the length "a". The side AA1 makes equal angles with the sides of the base AB and AC, these angles have the value "alfa". We know that AA1 has the length "b". I need to find out the height of the prism.

I figured out that the height of the prism would be h=b*sin(beta), where beta it is the angle formed by AA1 and the base ABC. I don't know how to find out beta.

The final answer should be h=b*sqrt(1-4/3*cos^2(alfa)) .

Thanks in advance (a lot).

## Answer this Question

## Related Questions

- 11th grade - ABCA1B1C1 is a prism which has regular triangles in the bases. The ...
- geometry - Can anyone help me to solve this, please? A right prism has a ...
- math - Am confused. The bases of a prism are right triangles with side lengths 6...
- math - thanks anyone! A right prism has a polygonal base with n sides. Each side...
- EASY Volume of shapes - The right triangular prism has bases that are ...
- Geometry/Math again! - The base of a prism is a regular hexagon that measures 4 ...
- geometry - the base of a right triangular prism has a width of 8 inches and a ...
- math - Jack has 222 lego cubes, each of side length 1. He puts them together to ...
- geometry - I have a question: My textbook says "The surface of a right prism is ...
- geometry - The base of a right triangular prism is a right isosceles triangle ...