3. All 45º- 45º- 90º Triangles are Similar! 45 º 2 2 45 º 1 1 45 º 1
4. All 30º- 60º- 90º Triangles are Similar! 1 ½ 2 4 60º 30º 60º 30º 2 60º 30º 1
5. All 30º- 60º- 90º Triangles are Similar! 10 60º 30º 5 2 60º 30º 1 1 60º 30º
6. A triangle in which one angle is a right angle is called a right triangle . The side opposite the right angle is called the hypotenuse , and the remaining two sides are called the legs of the triangle. c b a
7. Naming Sides of Right Triangles Hypotenuse Side Adjacent Side Opposite
8. The Tangent Ratio There are a total of six ratios that can be made with the three sides. Each has a specific name. Side Adjacent Hypotenuse Side Opposite Tangent
9. The Six Trigonometric Ratios (The SOHCAHTOA model) S O H C A H T O A Side Adjacent Hypotenuse Side Opposite
10. The Six Trigonometric Ratios The Cosecant, Secant, and Cotangent of are the Reciprocals of the Sine, Cosine,and Tangent of Side Adjacent Hypotenuse Side Opposite
16. Solving a Problem with the Tangent Ratio 60º 53 ft h = ? We know the angle and the side adjacent to 60º. We want to know the opposite side. Use the tangent ratio: Why? 1 2