Friday, April 22, 2016

The Triangle Trios

April 22nd, 2016 

I love triangles. Actually, I love all polygons, but triangles are my favorite. Three has always been one of my favorite numbers, and as weird as it sounds, there's something satisfying about looking at a three-sided figure. I also like the fact that the three angle measures in a triangle always add up to 180 degrees. Finding the measure of a missing angle isn't too difficult if you can remember that, especially if you already have the measures of the other two angles. For me, it's one of the easiest concepts in geometry.

There are three different kinds of triangles concerning side length, and three different kinds of triangles concerning angle size.


SIDE LENGTH: 

1. Equilateral - An equilateral triangle is a triangle whose side lengths are all the same size. Equilateral triangles also have same angle measures. Each angle of an equilateral triangle is 60 degrees no matter what, because 180 degrees (the sum of the measures of a triangle) divided by 3 (the number of angles a triangle has) is 60.

Image found here.

2. Isosceles - An isosceles triangle is a triangle who has two sides that are the same length and a third side that is a different length. Two of the angles of an isosceles triangle are also the same size. 

Image found here.

3. Scalene - A scalene triangle is a triangle whose three sides are all different lengths. None of the angles in a scalene triangle are the same size. 

Image found here.


ANGLE SIZE: 

1. Right - A right triangle is a triangle that has one angle that measures at 90 degrees. 

Image found here.


2. Acute - An acute triangle is a triangle whose angles all measure less than 90 degrees.
Image found here.


3. Obtuse - An obtuse triangle is a triangle that has at least one angle that measures greater than 90 degrees. 

Image found here.



If you struggle with the different classifications of triangles, click here.

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