How To Classify A Triangle By Its Angles
Triangle classification is an essential skill at the start of your geometry course. In today’s lesson, we will learn how to classify types of triangles. ends with two column proofs.
What is a triangle?
Contents
A triangle is formed by three segments connecting three non-linear points. Read more: how to delete messages on reddit | The line segment Q & AEach is called an edge of the triangle and the point where the two sides meet is called the vertex.
How do we classify a triangle?
Are there different types of triangles? Yes, triangles come in many different shapes and sizes, and we distinguish different triangles by their sides or angles.
1. Classification of triangles by face
We can classify triangles according to the measure of their sides. In the figures below, edges are marked to show which edges are congruent. In one scalar triangle all three sides have different measures, so an scalar triangle does not have any congruent sides. One isosceles triangle have two faces with the exact same measure. And a triangle in which all three sides have the same measure is called equilateral triangle. And every equilateral triangle is also an isosceles triangle, because it has two congruent sides.
2. Classification of triangles by angle
Triangles can also be classified according to their angles. In one Sharp triangle all three angles are acute (less than 90 degrees). One right triangle contains a right angle and two acute angles. And a Triangle contains one obtuse angle (greater than 90 degrees) and two acute angles. And an isosceles triangle has two congruent angles. Also, an equilateral triangle not only has three congruent sides, but all three congruent angles measure 60 degrees. Likewise, an equilateral triangle is also an acute triangle. Also, we can find the angle measures for both the interior and the exterior angles using the Sum of Triangle Theorem and the Exterior Angle Theorem. Read more: speedball cure This means that if we know the measure of the two angles of a triangle, we can find the third measure! And if we make a triangle between two parallel lines, then we can also apply our knowledge about the relationships between pairs of angles such as the similarity of the corresponding angles and the angles alternative intro. Wonderful! In this video lesson, we’ll look at:
Sorting Triangles – Lessons & Examples (Video)
51 minutes
- Introduction to triangle classification
- 00:00:30 – How do we classify triangles? Overview of classification types
- 00:08:05 – Define the style for each triangle (Example #1-11)
- Exclusive content for members only
- 00:20:45 – What is the triangle sum theorem and the circumscribed angle theorem?
- 00:28:57 – Find the measure of degrees of each angle in a triangle (Example #12-14)
- 00:41:15 – How to find the measure of an angle in a triangle (Example #15)
- 00:45:45 – Complete the two-column proof (Example #16)
- Practice problem with Step by Step Solution
- Check out the chapter with Video Solutions
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