Presentation on theme: "Unit 8 Lesson 9.4A Special Right Triangles"— Presentation transcript:
1 Unit 8 Lesson 9.4A Special Right Triangles CCSSLesson GoalsG-SRT 8: Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. G-SRT 8.1: Derive and use the trigonometric ratios for special right triangles (30°,60°,90°and 45°,45°,90°).Define a special right triangleIdentify the patterns in special right triangles.Use the special right triangle theorems to find missing side lengths in right triangles.ESLRs: Becoming Effective Communicators,Competent Learners and Complex Thinkers
2 Why are special right triangle theorems useful if we have the Pythagorean Theorem?
3 Definition Special Right Triangles not in notesDefinitionSpecial Right TrianglesA right triangle with acute angles of 45o and 45o.A right triangle with acute angles of 30o and 60o.DFEABC60o45o30o45o
4 You Try (not in notes)Find the missing angle measures.7xoxo
5 You Try Find the missing side length. Leave answer in radical form. 2c45o45o
6 You TryFind c.Leave answer in radical form.7c45o45o
14 Steps to help in solving Step 1: Place the pattern on the triangle (make sure you use a different variable than the ones on the triangle)Step 2: Setup 3 different equations based on what you have on each side of the triangleStep 3: Solve the equation that only has one variableStep 4: Use the answer from step 3 to solve other two sides.Please note not all answers will be “pretty”