Bellringer Angle A (or θ) = a = 1, b =, and c = 2.

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Presentation transcript:

Bellringer Angle A (or θ) = a = 1, b =, and c = 2

Solving Right Triangles Section 5.5

Definitions Sine - the ratio of the length of the side opposite an angle to the length of the hypotenuse Cosine – the ratio of the length of the side adjacent an angle to the length of the hypotenuse Tangent – the ratio of the length of the side opposite of an angle to the length of the side adjacent to that angle

Ratios These ratios are the same for every triangle The sin(50°) is the same ratio regardless of the size of the triangle, this is what lets us solve for all sides and angles of a triangle

Triangles We use capital letters (A, B, C) to label angles And we use lower-case letters (a, b, c) to label sides

Solving Right Triangles (pg. 270, ex. #2) Solve right triangle ΔABC. (Nearest degree and nearest tenth.) A = 49°a = 7 B = b = C = 90 °c =

Solving Right Triangles (pg. 270, ex. #3) Solve right triangle ΔABC. (Nearest degree and nearest tenth.) A = a = 8 B = b = C = 90 °c = 14