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 about ShapesTriangles are used in construction because they provide sturdy foundations to various infrastructures. Due to their rigid forms, triangles can withstand tremendous pressure.
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 >A decagon is a ten-sided, closed-plane figure with eight triangles in it. These eight triangles are formed by joining any vertex of the decagon to any other vertex. Thus, the triangles are formed by drawing the diagonals of the decagon.
Full Answer >Triangles are used to make rafters in buildings and curved domes. Some bridges have triangular structures, and the Egyptians made triangular-shaped pyramids. The shapes help surveyors use triangulation to determine the distance of a specific point from two other points of a known distance apart. Triangulation may be used to measure distances around corners and when digging tunnels, and carpenters use a right-angled triangle to take measurements.
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