They can be classified according to 2 groups. There are six types of triangles in geometry. When all the sides and angles of a triangle are equal, it is called an equilateral or equiangular triangle.įAQs on Types of Triangles What are the Types of Triangles in Geometry?.The three internal angles in a triangle always add up to 180°.In an equilateral triangle, each of the three internal angles is 60°.Here is a list of a few points that should be remembered while studying the types of triangles: Acute Scalene Triangle : A triangle that has 3 unequal sides and 3 acute angles is called an acute scalene triangle.Obtuse Scalene Triangle : A triangle with an obtuse angle with sides of different measures is called an obtuse scalene triangle. ![]() Right Scalene Triangle : A triangle in which any one of the angles is a right angle and all the 3 sides are unequal, is called a right scalene triangle.Acute Isosceles Triangle : A triangle in which all 3 angles are acute angles and 2 sides measure the same is called an acute isosceles triangle.Obtuse Isosceles Triangle : A triangle in which 2 sides are equal and one angle is an obtuse angle is called an obtuse isosceles triangle.So, in an isosceles right triangle, two sides and two acute angles are congruent. Isosceles Right Triangle: A triangle in which 2 sides are equal and one angle is 90° is called an isosceles right triangle.Equilateral or Equiangular Triangle : When all sides and angles of a triangle are equal, it is called an equilateral or equiangular triangle.The different types of triangles are also classified according to their sides and angles as follows: Copyright © Maria Miller.Types of Triangle Based on Sides and Angles This lesson is taken from Maria Miller's book Math Mammoth Geometry 1, and posted at with permission from the author. Could an equilateral triangle be a right triangle? The three angle measures add up toĭifferent-looking triangles with this information, or are they all identical?ġ4. Draw an isosceles triangle with 75° base angles. So that you get an isosceles triangle with 40° base angles. _ °, _ °, and _ °.Īre two angles in an isosceles triangle that haveĭraw another angle of 40° at B, and then continue its side Then, measure off the two congruent sides, making sure they haveī. Those of your classmates, or draw anotherĭraw any angle. Draw an isosceles right triangle whose two sides Draw a scalene obtuse triangle where one side is 3 cm and another is 7 cm.ĭraw the 7-cm side first, then the 3-cm side forming any obtuse angle with theĬompare your triangle to those of your classmates, or draw anotherĭifferent-looking triangles with this information,ħ. Plot in the coordinate grid an acute scalene triangle.Ħ. “equilateral,” “isosceles,” or “scalene” (by their sides). Or “obtuse” (by their angles), and also as Fill in the table by classifying the triangles labeled as (a), (d), (e), and ![]() ![]() Lastly, if none of the sides of a triangleĪre congruent (all are different lengths),Ģ. “equal”, and lateral means “sided.” Think of itĬongruent, then it is called an isosceles triangle.Īs a “same-legged” triangle, the “legs” being the Length), it is called an equilateral triangle.Įqui- refers to things that are the “same” or This 5th grade geometry lesson defines equilateral, isosceles, and scalene triangles, and has a variety of exercises, including drawingĮxercises, about these topics for students. Menu Equilateral, Isosceles, and Scalene Triangles
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