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    Types of Triangles

    Isosceles, Equilateral, Scalene, Obtuse. . .

    Triangles can be classified by various properties relating to their angles and sides. The most common classifications are described on this page.

    Classifications of Triangles
    Right Triangles
     
    A right triangle has one 90° and a variety of often-studied properties including:
    picture of equilateral triangle

    The Equilateral triangle shown on the left has three equal sides and three equal angles.

    Each angle is 60°

     

     

     



    The Isosceles triangle shown on the left has two equal sides and two equal angles.

     

     


    The Scalene Triangle has no congruent sides.

    The Acute Triangle has three acute angles (an acute angle measures less than 90°)
    Obtuse Triangle
    The  Obtuse Triangle has an obtuse angle (an obtuse angle has more than 90°). In the picture on the left, the shaded angle is the obtuse angle that distinguishes this triangle
    Since the total degrees in any triangle is 180°, an obtuse triangle can only have one angle that measures more than 90°.
    Practice Problems


    What kind of triangle is pictured on the left?
       Triangle Type     and scalene


    What kind of triangle is pictured on the left?
       Triangle Type    


    What type of triangle is pictured on the left?


       Triangle Type    
    Obtuse Classify the triangle on the left
    Answer
    Classify the triangle on the left
    Obtuse
    Answer