trigonometry-2 in greek this just means: working with triangles
TRANSCRIPT
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Trigonometry-2
In Greek this just means: Working with Triangles
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Trigonometry
• Hypotenuse, Opposite and Adjacent sides of right angled triangles.
• Practise
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Naming Triangle Sides
In trigonometry we work with right angled triangles.
To label a triangle we start by naming the corners or vertices.
Write any capital letter at each corner.
Mostly we label the corners A, B and C.
P
Q
R
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The hypotenuse is the longest side of a triangle.
It is always opposite the right angle.
The Hypotenuse
P
Q
R
Hypotenuse
In this example we are working with angle P.
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To find the side opposite the angle you are working with, put your finger on the angle.
Opposite Side
P
Q
R Now move your finger through the triangle.
The side you get to is the opposite side.
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To find the side opposite the angle you are working with, put your finger on the angle.
Opposite Side
P
Q
R Now move your finger through the triangle.
The side you get to is the opposite side.
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The adjacent side starts from the point you are working with and goes to the right angle.
Adjacent Side
P
Q
R
Opposite
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The adjacent side starts from the point you are working with and goes to the right angle.
Adjacent Side
P
Q
R
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Now you know how to find the hypotenuse, opposite and adjacent sides of a right angled triangle.
Adjacent Side
P
Q
R
Hypotenuse
Opposite
Adjacent
Remember: It always depends on the angle you are working with.
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You are working with angle M.
Which side is the hypotenuse?
Label the Sides
M
N
OMN
MO
NO
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Label the Sides
M
N
O
Hypotenuse
MN
MO
NO Well Done!
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You are working with angle M.
Which side is the opposite side?
Label the Sides
M
N
OMN
MO
NO
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Label the Sides
M
N
OMN
MO
NO Well Done!
Opposite
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You are working with angle M.
Which side is the adjacent side?
Label the Sides
M
N
OMN
MO
NO
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Label the Sides
M
N
O
Hypotenuse
MN
MO
NO Well Done!
Opposite
Adjacent
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You are working with angle N.
Which side is the hypotenuse?
Label the Sides
M
N
OMN
MO
NO
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Label the Sides
M
N
O
Hypotenuse
MN
MO
NO Well Done!
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You are working with angle N.
Which side is the opposite side?
Label the Sides
M
N
OMN
MO
NO
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Label the Sides
M
N
OMN
MO
NO Well Done!
Opposite
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You are working with angle N.
Which side is the adjacent side?
Label the Sides
M
N
OMN
MO
NO
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Label the Sides
M
N
O
Hypotenuse
MN
MO
NO Well Done!
Opposite
Adjacent
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Label the Sides
You are working with angle B. Which side is the hypotenuse?
A
B
C
AC
AB
BC
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Label the Sides
You are working with angle A. Which side is the adjacent side?
A
B
C
AC
AB
BC
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Label the Sides
You are working with angle B. Which side is the opposite side?
A
B
C
AC
AB
BC
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Label the Sides
You are working with angle B. Which side is the adjacent side?
A
B
C
AC
AB
BC
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Label the Sides
You are working with angle A. Which side is the opposite side?
A
B
C
AC
AB
BC
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Now you know how to label the sides of a right angled triangle.
Label the Sides
M
N
O
Hypotenuse
MN
MO
NO
Opposite
Adjacent
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Well Done!
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