List all properties you remember about triangles, especially the trig ratios.

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Presentation transcript:

List all properties you remember about triangles, especially the trig ratios.

Module 5.1 RIGHT TRIANGLE TRIGONOMETRY & SPECIAL RIGHT TRIANGLES

Parts of a Right Triangle  Hypotenuse  Longest side.  Always opposite the 90 degree angle.  Opposite  The non-hypotenuse side furthest away from an angle  Adjacent  The non-hypotenuse side directly next to an angle.  If angle A is the reference angle, find what each side represents.  a = opposite  b = adjacent  c = hypotenuse

Sine, Cosine, and Tangent

Secant, Cosecant, and Cotangent

Pythagorean Theorem  a 2 + b 2 = c 2  Can only use for right triangles  C is always the hypotenuse.  Find the lengths of the missing sides of each right triangle.

Triangles

Find the missing lengths

Triangles

Find the missing lengths of each triangle.