The SSS congruence postulate states that if all three sides of one triangle are congruent to the corresponding sides of another triangle, the triangles themselves are congruent. Triangles are congruent if, when one is superimposed on another, they match.
Know MoreSeveral ways exist to prove triangles congruent. Aside from the SSS (or side-side-side) method, there are the SAS (side-angle-side), ASA (angle-side-angle), AAS (angle-angle-side) and HL (hypotenuse-leg) postulates. If triangles are congruent by any one of these, they are congruent. Congruent triangles have the same shape and size, though it is possible for one to be a mirror image of the other or rotated in some other way.
Learn more in ShapesUsing each edge of the hexagon as one of the bases of a triangle, only six triangles can be inscribed within a regular hexagon. A new vertex should be added at the midpoint of the hexagon to create the remaining triangles, which will share this new vertex.
Full Answer >Three triangles can be drawn inside a regular pentagon. If the diagonals are drawn from any one vertex of the pentagon, the number of triangles formed is given by the formula n - 2, where “n” is the number of sides of the polygon.
Full Answer >In an octagon, there are six triangles formed when diagonals are drawn from each vertex. An octagon is a figure that consists of eight straight sides, and it can be either regular or irregular polygons. While irregular octagons do not have sides of equal length, regular octagons do.
Full Answer >Triangles are used in construction because they provide sturdy foundations to various infrastructures. Due to their rigid forms, triangles can withstand tremendous pressure.
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