IA2.GR.B: Reason about right triangle relationships.

Reason about right triangle relationships.

IA2.GR.B.5Use similarity of right triangles to explain and define trigonometric ratios (sine, cosine, and tangent) for acute angles as properties of the angles, based on side ratios.IA2.GR.B.6Justify the side length relationships in special right triangles (30°-60°-90° and 45°-45°-90°). a. Use geometric reasoning (e.g., dissecting an equilateral triangle or square) to explain why the side length relationship in special right triangles hold. b. Describe the consistent ratios of side lengths in these triangles (e.g., 1:1:√2 and 1:√3:2), and explain how these ratios relate to the angle measures.IA2.GR.B.7Use trigonometric ratios, the Pythagorean Theorem, and special right triangle relationships to solve right triangles in applied contexts.

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