What are 3 ways to classify a triangle by its sides?

We can also classify triangles by their 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:

How do you classify triangles based on side lengths?

Let’s look at how to classify triangles according to side length.
  1. An equilateral triangle has side lengths that are the same. …
  2. A scalene triangle is a triangle where the lengths of all three sides are different. …
  3. An isosceles triangle has two side lengths that are the same and one side length that is different.

How do you classify a right triangle by its sides?

What are the classifications of triangles?

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

How do you know if a triangle is acute or obtuse by side lengths?

How do I know if a triangle is acute based on side lengths?
  1. Compute the sum of squares of the two smaller sides.
  2. Compare it to the square of the longest side. If the sum is greater, your triangle is acute. If they are equal, your triangle is right. If the sum is shorter, your triangle is obtuse.

How do you find out if a triangle is acute obtuse or right?

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 the 4 ways to classify a triangle?

Classifying triangles by their side lengths
  • Equilateral triangles. …
  • Isosceles triangles. …
  • Scalene triangles.

How do you classify triangles by sides and angles?

An isosceles triangle is a triangle in which exactly two sides are the same length. An obtuse triangle is a triangle with one angle that is greater than 90 degrees. A right angle is an angle equal to 90 degrees. A scalene triangle is a triangle in which all three sides are different lengths.

What are the 7 types of triangles?

  • Scalene Triangle. A scalene triangle is a type of triangle, in which all the three sides have different side measures. …
  • Isosceles Triangle. In an isosceles triangle, two sides have equal length. …
  • Equilateral Triangle. …
  • Acute Angled Triangle. …
  • Right Angled Triangle. …
  • Obtuse Angled Triangle.

How do you use the Pythagorean theorem to classify triangles?

We assume you’re familiar with the Pythagorean Theorem. The converse of the Pythagorean Theorem is: If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

What kind of triangle is a 45 45 90?

isosceles right triangle
A 45 45 90 triangle is a special type of isosceles right triangle where the two legs are congruent to one another and the non-right angles are both equal to 45 degrees.

How do you classify a triangle by its angles?

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 can you tell if a triangle is a right triangle using Pythagorean?

It is possible to determine if a triangle contains a right angle using Pythagoras’ theorem . If the squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle.

How do you know if a triangle is obtuse?

An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°.

How can you use Pythagorean inequalities to classify the triangles by its sides?

Theorem: Pythagorean Inequality Theorem

If the square of the longest side is greater than the sum of the squares of the two shorter sides, then the triangle is obtuse at 𝐵 . If the square of the longest side is less than the sum of the squares of the two shorter sides, then the triangle is acute.