TRIANGLES

TRIANGLES

1. Triangle

   • Closed figure formed by three straight lines
     • It has three - sides angles and vertices each

2. Congruent

   • If any three parameters of given triangles are same 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 longer
   • The sum of any two sides of a triangle is greater than the third side
   • Difference of any two sides of a triangle is less than the third side

4. Properties

   • Angles opposite to equal side of an isosceles triangle are equal
   • The sides opposite to equal angles of a triangle are equal

5. Congruence rule

   • SAS: Two triangles are congruent if two sides and the included angle of one triangle are equal to the two sides and the included angle of other triangle
   • ASA: Two triangle are congruent if two angles and the included side of one triangle are equal to two angles and the included side of 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 hypotenuse and one side of one triangle are equal to the hypotenuse and one side of the other triangle then the two triangles are congruent