Transcript Solving Right Triangles

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°
B=
C = 90 °
a=7
b=
c=
Solving Right Triangles (pg. 270, ex. #3)
Solve right triangle ΔABC. (Nearest degree and
nearest tenth.)
A=
B=
C = 90 °
a=8
b=
c = 14