
A three-sided pyramid
is given.
In triangle
with data


and the radius of the triangle of the delineated circle
, the point
is the center of this triangle of the delineated circle. Calculate the scalar product
.
Express the vectors
and
as a linear combination of vectors



Prove that the equality
holds.
Let the pyramid be
equal. Prove that the opposite edges
and
are perpendicular to each other.