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Chapter 9 – Right Triangles and Trigonometry Concept The Pythagorean Theorem The Converse of The Pythagorean Theorem Trigonometric Ratios Solving Right Triangles Special Right Triangles Core Content MA–HS–2.1.3 MA–HS–2.1.3 MA–HS–2.1.3 MA–HS–2.1.3 MA–HS–2.1.3 Students will apply definitions and properties of right triangle relationships (right triangle trigonometry and the Pythagorean Theorem) to determine length and angle measures to solve real-world and mathematical problems. Students will apply definitions and properties of right triangle relationships (right triangle trigonometry and the Pythagorean Theorem) to determine length and angle measures to solve real-world and mathematical problems. Students will apply definitions and properties of right triangle relationships (right triangle trigonometry and the Pythagorean Theorem) to determine length and angle measures to solve real-world and mathematical problems. Students will apply definitions and properties of right triangle relationships (right triangle trigonometry and the Pythagorean Theorem) to determine length and angle measures to solve real-world and mathematical problems. Students will apply definitions and properties of right triangle relationships (right triangle trigonometry and the Pythagorean Theorem) to determine length and angle measures to solve real-world and mathematical problems. Objective SWBAT: Use the Pythagorean Theorem to find missing sides of right triangles Define and identify a Pythagorean triple Use the Pythagorean Theorem and its converse to solve real-world problems SWBAT: Use the Converse of the Pythagorean Theorem to determine if a triangle is acute, right, or obtuse SWBAT: Find the sine, cosine, and tangent ratios of an acute angle Use trigonometric ratios to solve mathematical and real-world problems SWBAT: Find all side and angle measures in a right triangle Use inverse trigonometric functions to solve problems SWBAT: Find the side lengths of 30°-60°-90° right triangles Find the side lengths of 45°-45°-90° right triangles Use special right triangles to solve mathematical and real-world problems