How can triangles be classified?

What are two ways to classify triangles?

Classifying Triangles

  • Obtuse Triangle: A triangle with one obtuse angle.
  • Acute Triangle: A triangle where all three angles are acute.
  • Equiangular Triangle: A triangle where all the angles are congruent.
  • Scalene Triangle: A triangle where all three sides are different lengths.
  • Isosceles Triangle: A triangle with at least two congruent sides.

What are the 3 ways we classify triangles by their sides?

Classifying Triangles by Sides

  • scalene triangle-a triangle with no congruent sides.
  • isosceles triangle-a triangle with at least 2 congruent sides (i.e. 2 or 3 congruent sides)
  • equilateral triangle-a triangle with exactly 3 congruent sides.
  • NOTE: Congruent sides means that the sides have the same length or measure.

How do you classify an acute triangle?

Triangles can also be classified by their angles. In an acute triangle all three angles are acute (less than 90 degrees). A right triangle contains one right angle and two acute angles. And an obtuse triangle contains one obtuse angle (greater than 90 degrees) and two acute angles.

How do you classify congruent triangles?

ASA: If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. SAS: If any two angles and the included side are the same in both triangles, then the triangles are congruent.

What are the 7 types of triangle?

To learn about and construct the seven types of triangles that exist in the world: equilateral, right isosceles, obtuse isosceles, acute isosceles, right scalene, obtuse scalene, and acute scalene.

How do you use the Pythagorean theorem to classify triangles?

Classifying Triangles by Using the Pythagorean Theorem



If you plug in 5 for each number in the Pythagorean Theorem we get 52+52=52 and 50>25. Therefore, if a2+b2>c2, then lengths a, b, and c make up an acute triangle. Conversely, if a2+b2triangle.

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How do you classify triangles with side lengths?

Equilateral triangle: A triangle with three sides of equal length. Isosceles triangle: A triangle with at least two sides of equal length. Line of symmetry: A line through a figure that creates two halves that match exactly. Obtuse angle: An angle with a measure greater than 90 degrees but less than 180 degrees.

How do you classify triangles by sides obtuse or acute?

An acute triangle has three angles that each measure less than 90 degrees. An obtuse triangle is a triangle with one angle that is greater than 90 degrees. A right triangle is a triangle with one 90 degree angle.

What are different triangles called?

There are different names for the types of triangles. A triangle’s type depends on the length of its sides and the size of its angles (corners). There are three types of triangle based on the length of the sides: equilateral, isosceles, and scalene.

What are the six types of triangles?

The six types of triangles are: isosceles, equilateral, scalene, obtuse, acute, and right.

  • An isosceles triangle is a triangle with two congruent sides and one unique side and angle.
  • An equilateral triangle is a triangle with three congruent sides and three congruent angles.

Can SSA prove triangles congruent?

The SSA (or ASS) combination deals with two sides and the non-included angle. This combination is humorously referred to as the “Donkey Theorem”. SSA (or ASS) is NOT a universal method to prove triangles congruent since it cannot guarantee that the shapes of the triangles formed will always be the same.

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Can SSS prove triangles congruent?

Side-Side-Side (SSS) Rule



Side-Side-Side is a rule used to prove whether a given set of triangles are congruent. The SSS rule states that: If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

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