www.iTutoring.com -­‐ NOTES The Sine Ratio of Right Triangles Name _________________________________ Date ___________________ Period _______ In a right triangle, there are different names to refer to different
sides of the triangle.
hypotenuse
legs
The Sine Ratio of an angle is the ratio of the length of the opposite leg
to the length of the hypotenuse.
A
sin ! =
z
x
sin A =
y
B
sin B =
Find the sine ratio of !A and !B.
sin ! =
B
opposite
hypotenuse
A
3
13
5
12
B
4
A
5
Use the sine ratio to solve for the value of x.
sin ! =
opposite
hypotenuse
25°
x
8
24
36°
x
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The Sine Ratio of Right Triangles Pg. 2 Use the sine ratio to solve for the value of x.
sin ! =
opposite
hypotenuse
39°
x
25
Use the sine ratio to solve for the value of x.
sin ! =
53°
18
opposite
hypotenuse
x
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The Sine Ratio of Right Triangles Pg. 3 The Sine Ratio of an angle is the ratio of the length of the opposite leg
to the length of the hypotenuse.
A
z
x
y
sin ! =
B
opposite
length of opposite leg
=
hypotenuse
length of hypotenuse
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The Sine Ratio of Right Triangles Pg. 4