Pyramid – one of the most mystical figures in geometry. Connect streams of space energy with it, many ancient people chose this form for construction of the cult constructions. Nevertheless, in terms of mathematics, the pyramid is only a polyhedron, with a polygon in the basis, and sides are triangles with the general top. Let's consider how to find the area of a side in a pyramid.
It is required to you
Instruction
1. Pyramids happenof following of types: correct (in the basis - a regular polygon, and a pyramid top projection to the basis – its center), any (in the basis any polygon lies, and the top projection optional coincides with its center), rectangular (one of side edges makes a right angle with the basis) and truncated. Depending on that how many parties the polygon in the pyramid basis has, it is called three - four - five or, for example, decagonal.
2. As the side side of any pyramid (except truncated) is a triangle, finding of the area of a side comes down to determination of its area. In the truncated pyramid a side side – a trapeze. So, we will understand how to find the area of a side of a pyramid in each separate case.
3. For all types of pyramids, except truncated: Multiply lengths of the basis of a triangle and height lowered on it from pyramid top. Divide the received work into 2 - it is and there will be a required area of a side side of a pyramid.
4. Truncated you piramidaslozhit both bases of the trapeze which is a side of such pyramid. Divide the received sum into two. Increase the received value by side trapeze height. The size received as a result – the area of a side side of a pyramid of this type.