Page 126 - Math Course 2 (Book 2)
P. 126

Classifying Triangles





         isosceles triangle
         A triangle with two equal sides.                                Let’s Begin
         The angles opposite the equal    36°
         sides are also equal.
                                    d          d           Classify Angles


                                                              Example



                                  72°           72°         Classify the angle as acute, obtuse, right, or
                                         b                  straight.

         equilateral triangle            C
         A triangle with all three sides                                   K           M
         of equal length. All the angles    60°
         will be 60°.                                       m∠KLM < 90
                                                                                      25°



                                                                              L
                                60°              60°
                             A                        B        Answer            ∠KLM is acute.



         Key Concept                                        m∠NPQ = 180                         Q


                                                                                          P
         Classify Triangles                                                        N


             Acute Triangle        Scalene Triangle            Answer           ∠NPQ is straight.


                     40°
                 80°                                        m∠RST >  90     R                        T
                     60°                                                                 115°

             all acute angles      no congruents sides                                    S
            Obtuse Triangle        Isosceles Triangle
                                                               Answer            ∠RST is obtuse.


               30°
                                                           Classify Triangles

                 110°   40°           at least two            Example
             one obtuse angle       sides congruent
             Right Triangle       Equilateral Triangle      Classify the triangle by its angles and by its sides.


                                                            Angles All angles are acute.      60°
                                                            Sides  All sides are congruent.

                                                                                          60°    60°
             45°         45°
                                                                               The triangle is an acute
                                                               Answer
              one right angle      all sides congruent                           equilateral triangle.

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