Triangles are three sided polygons. One of the interesting things about triangles is that if you sum up the three angles within any triangle, they will always total 180 degrees. This comes in handy when working geometry problems.
There are several types of triangles. Some triangles can be described by their sides, like the equilateral, isosceles, and scalene. Some triangles are described by their angles like the right triangle, obtuse, and acute.
The equilateral triangle is a triangle with sides that are all the same length. The three angles are all the same too. If we use what we learned above, that all the angles must total 180 degrees, then each angle in an equilateral triangle is 180/3 = 60 degrees.
|An isosceles triangle is a triangle with two equal sides. As a result of having two equal sides, two of the angles will be the same too.
A scalene triangle is one where none of the sides are the same length.
The right triangle is one where one of its angles is 90 degrees. This type of triangle has some unique properties that are important to geometry including the Pythagorean Theorem. Triangles that are not right triangles, or don't have an angle of 90 degrees are called oblique.
An acute triangle is a triangle where all the interior angles are less than 90 degrees.
An obtuse triangle is the opposite of an acute triangle in that it is a triangle where at least one angle is greater than 90 degrees.
Acute and obtuse triangles are both oblique.
Fun Facts about Triangles
- Triangles are becoming used more in construction. They are harder to use than rectangles, but can be stronger and may be more resistant to earthquakes.
- If you draw a line in a rectangle from far corner to corner you cut the rectangle into two right triangles.
- If you know two of the angles in a triangle, you can always figure out the third because they must add up to 180 degrees.
- The sum of the lengths of any two sides of a triangle is always longer than the third side.
- The triangle and two is a type of defense used in basketball.
- In North Carolina there are three cities: Raleigh, Durham, and Chapel Hill, that are often referred to as The Triangle.
More Geometry Subjects
Volume of a Box or Cube
Volume and Surface Area of a Sphere
Volume and Surface Area of a Cylinder
Volume and Surface Area of a Cone
Figures and Shapes glossary
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