A triangle is a polygon with three edges and three vertices. There are three sides and three angles in every triangle. The three angles always add up to 180. There are special names given to triangles that tell you how many sides or angles are equal.  An equilateral triangle has 3 equal  sides, the 3 Angles are 60 each. An isosceles triangle has 2  equal sides. A scalene triangle has no equal sides.

The perimeter of the triangle is the distance around the edge. To find the perimeter just add up the 3 sides.

The area of a triangle is half of the base times the height. 1/2 b x h = area

An
angle consists of two rays with a common endpoint. The two rays is called the side of the angle and the common endpoint is the vertex of the angle. Each angle has a measurement generated by the rotation about the vertex. The measure is determined by the rotation of the terminal side about the initial side. Angles can be classified based upon the measure.

Types of angles are usually based on angle measurement

 An Acute Angle is an angle which measures less than 90.

A Right Angle measures exactly 90

An Obtuse Angle measures greater than 90 but less than 180

A Straight Angle measures exactly 180

A Reflex Angle measure is greater than 180 but less than 360

Trigonometry is a branch of mathematics. Trigonometry studies the relationships between side lengths and angles of triangles. There are six ratios including sine, cosine, tangent, cosecant, secant and cotangent.  These six trigonometry ratios are abbreviated as sin, cos, tan, csc, sec, and cot. These are referred to as ratios since they can be expressed in terms of the sides of a right angled triangle for a specific angle.

Trigonometric functions

Trigonometric functions are functions related to an angle. There are six trigonometric functions: sine, cosine, tangent and their reciprocals cosecant, secant, and cotangent, respectively. Sine, cosine, and tangent are the most widely used trigonometric functions. Their reciprocals, though used, are less common in modern mathematics. Trigonometric functions are also called circular functions.

There are two main ways in which trigonometric functions are typically discussed: in terms of right triangles and in terms of the unit circle. The right-angled triangle definition of trigonometric functions is most often how they are introduced, followed by their definitions in terms of the unit circle.

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