Practice Identifying Triangles

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  • 0:05 Triangles
  • 0:37 Equliateral and Isosceles
  • 1:38 Scalene and Acute
  • 2:12 Right and Obtuse
  • 2:39 Identification Practice
  • 3:43 Lesson Summary
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Lesson Transcript
Instructor: Yuanxin (Amy) Yang Alcocer

Amy has a master's degree in secondary education and has taught math at a public charter high school.

After watching this video lesson, you will be able to identify all kinds of triangles. You'll learn the identifying factors of each type of triangle, including the kinds of angles and lines to look for.

Triangles

In this lesson, we're talking about triangles. Triangles are two-dimensional shapes with three straight sides and three angles. There are many kinds of triangles that you will come across. You will come across triangles in your math and geometry classes, and you will see them all around if you look for them. You might see triangle shapes keeping a bridge up and you might see triangle shapes supporting the roofs on houses. We can describe our triangles in six different ways; all of our triangles will belong to at least one of these six different categories. Let's take a look.

Equilateral

The first is the equilateral triangle. It is a triangle with three equal sides. Because all three sides are equal, this triangle will also have three equal angles. Each angle of the equilateral triangle will always equal 60 degrees. This is because triangles' angles always add up to 180 degrees. Thus, if all three angles are equal, we can divide that 180 by 3 to get 60 degrees for each angle. If you see a triangle with all equal sides and equal angles, then you are looking at an equilateral triangle.

triangle

Isoceles

The second is an isosceles triangle. This type of triangle has two equal sides. Because this triangle has two equal sides, it will also have two equal angles. The two equal angles are the angles opposite the two equal sides. In this type of triangle, unlike the equilateral triangle, the two equal angles do not have to be a certain degree. They can be any measurement under 90 degrees.

triangle

Scalene

The third is a scalene triangle. A scalene triangle's a triangle with no equal sides. Because there are no equal sides, this triangle will also have no equal angles. This means that all the sides are different lengths and all the angles are different measurements.

triangle

Acute

The fourth is the acute triangle. This triangle has all angles less than 90 degrees. In this type of triangle, there can be two or three equal angles as long as they are all less than 90 degrees. You can also have an acute triangle where none of the angles are equal.

triangle

Right

The fifth is the right triangle. A right triangle is a triangle with one 90-degree angle. As long as the triangle has that one 90-degree angle, then it is a right triangle. It doesn't matter what the angles measure.

triangle

Obtuse

Our last and sixth category is the obtuse triangle. This is a triangle with one angle that measures more than 90 degrees. Just like the right angle, it doesn't matter what the other angles measure.

triangle

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