Mathematics Triangles and Angles

Overall, there are three types of triangles. These are isosceles, equilateral and scalene triangles. The main differences between these angles refers to the their angles, and it is possible to find the angles of these triangles without a angle measurer if you are aware of one or two of the alternative angles of the triangles.

The first thing that should be noted is the golden rule of triangle angles: that all three of the angles of a triangle add up to 180 degrees. This golden rule is most important in helping to assist in finding the angles of any triangle that you may have.

As mentioned, there are a few types of triangle. To consider each triangle separately, starting with equilateral triangle. The equilateral triangle is a triangle that has exactly equal angles, or sides of the same length. That is to say, all its angles are equal so to find the angles of this triangle is most simple. Essentially, 180 divided by three is 60 degrees. So, each angle of this triangle is 60 degrees!

The second type of triangle is referred to as the isosceles triangle. The isosceles triangle has two angles which are exactly the same at the base of the triangle and one at the tip which is not the same. Overall, with two sides of the same length. So, if you are aware that one of the bottom angles is 80 degrees, then the opposite angle will also be 80 degrees. This adds to 160 degrees, which means the third angle at the triangle tip must be 20 degrees, making for a wide triangle!

Scalene triangles are the third type of triangle. Overall, these are triangles which have no angles that are exactly the same, and sides of variable length. As such, unless you are aware of two of the angles for this triangle, finding angles will likely require an angle measurer.

Overall, these are triangles in relative length of their sides. In terms of interior angles, there are three further types of triangles:

• Right angle: The right-angle triangle is one that includes one angle that is 90 degrees. Really, this is more of an isosceles triangle.

• Obtuse: Then, there is also the obtuse triangle. The obtuse triangle has one angle that is greater than 90 degrees.

• Acute: The final type of triangle is the acute triangle. With this type of triangle, all the angles are less than 90 degrees overall.

So really, finding some of the angles of these triangles can be done without the need for an angle measurer. With the relative length of the sides, and if any interior angles are stated, you can find alternative angles of the triangle.