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Understanding Triangles

is also an equiangular triangle, with all 3 angles of equal measure.

The scalene triangle is a triangle in which none of the 3 sides are of equal length and consequently none of the 3 angles have equal measure.

An obtuse triangle is a triangle with one angle measuring greater than 90 degrees and the other 2 angles each will obviously measure less than 90 degrees each and in fact sum to less than 90 degrees.

To obtain the lengths of the sides of a triangle with no right angles, trigonometry will be used. The Law of Sines and the Law of Cosines are 2 such methods used. The Law of Sines is SineA/a = SineB/b = SineC/c which A,B and C representing the angles of the triangle and a,b and c representing the sides of the triangle. The Law of Cosines is a squared = b squared + c squared - 2bcCosine(a) or equivalently b squared = a squared + c squared - 2acCosine(b) and c squared = a squared + b squared - 2abCosine(c).

The area of a triangle is obtained by tanking the length of the base of the triangle times the height divided by two.. A=(1/2)bh. The height of the triangle is the length from the vertex perpendicular to the base. In the right triangle the base and height are easy to find, they are the two sides that form the right angle.

I hope this information assists anyone who needs to know the basics about triangles and those who need more in depth information on finding angles and sides of the various types of triangles.

Learn more about this author, Kerry Kauffman.
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