triangles

triangles

1. congruence rule

   • SAS-two triangles are congruent if two sides and the included angles of one triangle equal to the two sides and the and the included angle of the another triangle
   • ASA-two triangles are congruent if two angles and the included side of one triabge are equal to two angles and the included side of the other triangle
   • AAS-two triangles are congruent if any two pairs of angles and one pair of corresponding sides are equal
   • SSS-if three sides of one triangle are equal to the three sides of another triangle then two triangles are congruent
   • RHS-if in two right triangles the hypotynuse and one side of one triangle are equal to the hypotynuse and one side of the other triangle then the two triangles are congruent

2. congruent

   • DEFINITION-if any three parameters of the two given triangles are same then the triangles will be congruent

3. inequalities

   • in any triangle, the angle opposite to the longer side is larger
   • in any triangle the side opposite to the larger angle is larger
   • the sum of any two sides of a triangle is larger than the third side
   • difference of any two sides of a triangle is less than the third side

4. properties

   • angle opposite to equal sides of an isoceles triangle are equal
   • the sides opposite to equal angles of a triangle are equal

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