Right Triangles and Trigonometry
Geometry Chapter 8
We are familiar with the Pythagorean Theorem:
8-1 The Pythagorean Theorem and its converse
8-1 The Pythagorean Theorem and its converse
8-1 The Pythagorean Theorem and its converse
8-1 The Pythagorean Theorem and its converse
8-1 The Pythagorean Theorem and its converse
8-1 The Pythagorean Theorem and its converse
8-1 The Pythagorean Theorem and its converse
For each triangle, use the Pythagorean theorem to find the length of the hypotenuse. Leave the answer in simplest radical form.
8-2 Special Right Triangles
2
25
5
4
4
8-2 Special Right Triangles
8-2 Special Right Triangles
8-2 Special Right Triangles
8-2 Special Right Triangles
8-2 Special Right Triangles
solve for the missing sides – leave you answer in radical form.
8-2 Special Right Triangles
Homework: 420 (1-25) odd 428 (1-15) odd
8-2 Special Right Triangles
Warm Up
8-3 The Tangent Ratio
For each pair of complementary angles ∠A and ∠B, there is a family of similar right triangles.
In each family the ratio:
is constant no matter the size of ∆ABC
8-3 The Tangent Ratio
This trigonometric ratio is called the tangent ratio.
8-3 The Tangent Ratio
8-3 The Tangent Ratio
8-3 The Tangent Ratio
8-3 The Tangent Ratio
8-4 The Sine and Cosine Ratios
8-4 The Sine and Cosine Ratios
8-4 The Sine and Cosine Ratios One way to remember which ratio
corresponds to each trig function is to remember the word: SOH-CAH-TOA
SOH: sine opposite over hypotenuse CAH: cosine adjacent over hypotenuse TOA: tangent opposite over adjacent
8-4 The Sine and Cosine Ratios
8-4 The Sine and Cosine Ratios
8-5 Angles of Elevation and Angles of Depression
8-5 Angles of Elevation and Angles of Depression
8-5 Angles of Elevation and Angles of Depression
8-5 Angles of Elevation and Angles of Depression
homework
page 441 (1-16) all page 447 (1-14) all
Chapter 8 test next week Tuesday/Wednesday
8-5 Angles of Elevation and Angles of Depression