![]() ![]() 2abcosg Use for: SAS triangles SSS triangles 5 5 The area of a triangle The area. Using Theorem 6.2 : If a line divides any two sides of a triangle in the same ratio, then the line is parallel to third side. Acute Triangle b a c Solving oblique triangles Oblique (Nonright). ![]() Such that DP = AB and DQ = AC respectively For this type of triangle, we must use The Law of Cosines first to calculate the third side of the triangle then we can use The Law of Sines to find one of the other two angles, and finally use Angles of a Triangle to find the last angle. The SAS Congruence Rule The Side-Angle-Side theorem of congruency states that, if two sides and the angle formed by these two sides are equal to two sides and the included angle of another triangle, then these triangles are said to be congruent. Given: Two triangles ∆ABC and ∆DEF such that This means we are given two sides and the included angle. The SAS Criterion stands for the Side-Angle-Side triangle congruence theorem. ![]() Side-Angle-Side ( SAS) Triangle Congruence Postulate: If two sides and the included angle in one triangle are congruent to two sides and the included angle in another triangle, then the two triangles are congruent. This is why it's not like the other triangle congruence postulates/criteria. Only one triangle can be created from any given two lengths and the INCLUDED angle. Theorem 6.5 (SAS Criteria) If one angle of a triangle is equal to one angle of the other triangle and sides including these angles are proportional then the triangles are similar. About Transcript There are some cases when SSA can imply triangle congruence, but not always. Below is the proof that two triangles are congruent by Side Angle Side. ![]()
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