bellringer angle a (or θ) = a = 1, b =, and c = 2

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

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

Bellringer

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

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

Solving Right Triangles

Section 5.5

Page 3: Bellringer Angle A (or θ) = a = 1, b =, and c = 2

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

Page 4: Bellringer Angle A (or θ) = a = 1, b =, and c = 2

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

Page 5: Bellringer Angle A (or θ) = a = 1, b =, and c = 2

Triangles

We use capital letters(A, B, C) to label angles

And we use lower-caseletters (a, b, c) to label sides

Page 6: Bellringer Angle A (or θ) = a = 1, b =, and c = 2

Solving Right Triangles (pg. 270, ex. #2)

Solve right triangle ΔABC. (Nearest degree and nearest tenth.)

A = 49° a = 7B = b =C = 90 °c =

Page 7: Bellringer Angle A (or θ) = a = 1, b =, and c = 2

Solving Right Triangles (pg. 270, ex. #3)

Solve right triangle ΔABC. (Nearest degree and nearest tenth.)

A = a = 8B = b =C = 90 °c = 14