Triangles can be constructed using so-called determinants with the help of a compass and ruler. Triangle constructions are divided into constructions of sides and angles - a website that does your homework (basic constructions) and constructions in which other determinants such as heights and angle bisectors are also given.
All constructions in which the pieces mentioned in the congruence theorems are given can be executed unambiguously if the specifications of the triangle inequalities, the interior angle theorem and the relationship between sides and interior angles of the triangle are fulfilled.
The distance AB with AB (average) = c is drawn on a straight line. An arc with radius b is drawn around A and an arc with radius a is drawn around B. The intersections of the arcs are C1.
The intersections of the arcs are C1 and C2. Observing the orientation, the points A and B are connected with C (C1) to form the triangle ABC.
Construction according to the congruence theorem wsw Given are the side length c and the sizes of the adjacent angles α and β.
The line AB with AB (average) = c is drawn on a straight line - geometry problem solver . At point A the angle α is applied to the line AB and at point B the angle β is applied to the line AB.
The point of intersection of the free legs of α and β is the point C. The points A and B are connected with C to form the triangle ABC.
Construction according to the congruence theorem sws
Given are the side lengths b and c and the size of the angle α.
The line AB with AB (average) = c is drawn on a straight line. At point A, the angle α is applied to the line AB. An arc of a circle with the radius b is drawn around A - https://domyhomework.club/stat... . It intersects the free leg of the angle α at point C. Point C is connected with A or B to form triangle ABC.