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.
Equilateral Triangle
Isosceles Triangle
Scalene Triangle
A scalene triangle is one where none of the sides are the same length.
Right Triangle
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.
Acute Triangle
An acute triangle is a triangle where all the interior angles are less than 90 degrees.
Obtuse Triangle
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.
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.
Equilateral Triangle
| 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.
Right Triangle
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.
Acute Triangle
An acute triangle is a triangle where all the interior angles are less than 90 degrees.
Obtuse Triangle
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.
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