abstract:In mathematics and especially algebraic topology and homology theory, a Euclidean simplex is a special type of convex set in Euclidean space. It generalises the idea of a triangle, and is used for triangulations.
By usingcontrolinequalitytheory, some geometric inequalities are established, which involvethe inradius, radius of escribed sphere andaltitudesofsimplex inn-dimensional Euclideanspac.