Triangles
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Triangles are classified in two general ways: by their sides and by their angles. First, we'll classify
by sides:
By Sides:
A triangle with three sides of different lengths is called a scalene triangle. An isosceles triangle
has just two equal sides, called legs. The third side is called the base. The angles that are
opposite the equal sides are also equal. An equilateral triangle has three equal sides. In this type
of triangle, the angles are also equal, so it can also be called an equiangular triangle. Each angle
of an equilateral triangle must measure 600, since the sum of the interior angles of any triangle
must equal 1800.
By Angles:
An acute triangle has three acute angles, or three angles with a measure of less than 90 degrees. An obtuse triangle has one angle that is greater than 90 degrees. If one of the angles in a triangle is a right angle, then the triangle is called a right triangle. Notice we draw a square at vertex C to show a right angle.
You can use two labels for a triangle. For example, triangle MNO is both an acute and an isosceles triangle. Triangle PQR is an obtuse, scalene triangle.
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