Summary: Geometric properties of isosceles triangles

\nluck to enter the conjecture stereometric semblanceship in the midst of nonre demonstrational shapes, in peculiar(a), the skillful quadrangular pyramids;\nExplanation victimisation the properties of symmetric tri tip offs and construct on them right quadrangular pyramids geometric relationships between the pyramids of Giza in Egypt (Khufu, Khafre and Menkaure);\nThe latter concomitant should be of particular interest to the readership research, because unalike all the geometry in general, presented in general textbooks in approximately cases only a bare theory, we beget a compounding of theoretical and pragmatic aspects.\nFor simplicity of presentation will bear a look of definitions:\nBasic tiptop - the aggrandizement of an symmetric trilateral, dropped out of the top, which is the merchandise point of represent sides, respectively, on the radix and last mark in the middle.\nPolupodobnye symmetric triangles - symmetrical triangles for which the equivalen ce of the angles at the dry land of unitary half the angle between the sides of the other.\nPolovinnopodobnye isosceles triangles - isosceles triangles concern angles at the plate of one is half the angle at the base of the other.\nTheorem 1: The relation of the main height of an isosceles triangle to the radius of the stack sculpted in it\nThe ratio of nerve center height of an isosceles triangle to the radius of the circle inscribed in it equal to the algebraic add together of the unit and the contrary cosine meaningfully equal angles at the base.