Trigonometry-2 In Greek this just means: Working with Triangles.
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Transcript of Trigonometry-2 In Greek this just means: Working with Triangles.
Trigonometry-2
In Greek this just means: Working with Triangles
Trigonometry
• Hypotenuse, Opposite and Adjacent sides of right angled triangles.
• Practise
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
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.
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.
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.
The adjacent side starts from the point you are working with and goes to the right angle.
Adjacent Side
P
Q
R
Opposite
The adjacent side starts from the point you are working with and goes to the right angle.
Adjacent Side
P
Q
R
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.
You are working with angle M.
Which side is the hypotenuse?
Label the Sides
M
N
OMN
MO
NO
Label the Sides
M
N
O
Hypotenuse
MN
MO
NO Well Done!
You are working with angle M.
Which side is the opposite side?
Label the Sides
M
N
OMN
MO
NO
Label the Sides
M
N
OMN
MO
NO Well Done!
Opposite
You are working with angle M.
Which side is the adjacent side?
Label the Sides
M
N
OMN
MO
NO
Label the Sides
M
N
O
Hypotenuse
MN
MO
NO Well Done!
Opposite
Adjacent
You are working with angle N.
Which side is the hypotenuse?
Label the Sides
M
N
OMN
MO
NO
Label the Sides
M
N
O
Hypotenuse
MN
MO
NO Well Done!
You are working with angle N.
Which side is the opposite side?
Label the Sides
M
N
OMN
MO
NO
Label the Sides
M
N
OMN
MO
NO Well Done!
Opposite
You are working with angle N.
Which side is the adjacent side?
Label the Sides
M
N
OMN
MO
NO
Label the Sides
M
N
O
Hypotenuse
MN
MO
NO Well Done!
Opposite
Adjacent
Label the Sides
You are working with angle B. Which side is the hypotenuse?
A
B
C
AC
AB
BC
Label the Sides
You are working with angle A. Which side is the adjacent side?
A
B
C
AC
AB
BC
Label the Sides
You are working with angle B. Which side is the opposite side?
A
B
C
AC
AB
BC
Label the Sides
You are working with angle B. Which side is the adjacent side?
A
B
C
AC
AB
BC
Label the Sides
You are working with angle A. Which side is the opposite side?
A
B
C
AC
AB
BC
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
Well Done!
Oops!
Click to try again.