Trigonometry-2 In Greek this just means: Working with Triangles.

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Trigonometry-2 In Greek this just means: Working with Triangles

Transcript of Trigonometry-2 In Greek this just means: Working with Triangles.

Page 1: Trigonometry-2 In Greek this just means: Working with Triangles.

Trigonometry-2

In Greek this just means: Working with Triangles

Page 2: Trigonometry-2 In Greek this just means: Working with Triangles.

Trigonometry

• Hypotenuse, Opposite and Adjacent sides of right angled triangles.

• Practise

Page 3: Trigonometry-2 In Greek this just means: Working with Triangles.

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

Page 4: Trigonometry-2 In Greek this just means: Working with Triangles.

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.

Page 5: Trigonometry-2 In Greek this just means: Working with Triangles.

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.

Page 6: Trigonometry-2 In Greek this just means: Working with Triangles.

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.

Page 7: Trigonometry-2 In Greek this just means: Working with Triangles.

The adjacent side starts from the point you are working with and goes to the right angle.

Adjacent Side

P

Q

R

Opposite

Page 8: Trigonometry-2 In Greek this just means: Working with Triangles.

The adjacent side starts from the point you are working with and goes to the right angle.

Adjacent Side

P

Q

R

Page 9: Trigonometry-2 In Greek this just means: Working with Triangles.

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.

Page 10: Trigonometry-2 In Greek this just means: Working with Triangles.

You are working with angle M.

Which side is the hypotenuse?

Label the Sides

M

N

OMN

MO

NO

Page 11: Trigonometry-2 In Greek this just means: Working with Triangles.

Label the Sides

M

N

O

Hypotenuse

MN

MO

NO Well Done!

Page 12: Trigonometry-2 In Greek this just means: Working with Triangles.

You are working with angle M.

Which side is the opposite side?

Label the Sides

M

N

OMN

MO

NO

Page 13: Trigonometry-2 In Greek this just means: Working with Triangles.

Label the Sides

M

N

OMN

MO

NO Well Done!

Opposite

Page 14: Trigonometry-2 In Greek this just means: Working with Triangles.

You are working with angle M.

Which side is the adjacent side?

Label the Sides

M

N

OMN

MO

NO

Page 15: Trigonometry-2 In Greek this just means: Working with Triangles.

Label the Sides

M

N

O

Hypotenuse

MN

MO

NO Well Done!

Opposite

Adjacent

Page 16: Trigonometry-2 In Greek this just means: Working with Triangles.

You are working with angle N.

Which side is the hypotenuse?

Label the Sides

M

N

OMN

MO

NO

Page 17: Trigonometry-2 In Greek this just means: Working with Triangles.

Label the Sides

M

N

O

Hypotenuse

MN

MO

NO Well Done!

Page 18: Trigonometry-2 In Greek this just means: Working with Triangles.

You are working with angle N.

Which side is the opposite side?

Label the Sides

M

N

OMN

MO

NO

Page 19: Trigonometry-2 In Greek this just means: Working with Triangles.

Label the Sides

M

N

OMN

MO

NO Well Done!

Opposite

Page 20: Trigonometry-2 In Greek this just means: Working with Triangles.

You are working with angle N.

Which side is the adjacent side?

Label the Sides

M

N

OMN

MO

NO

Page 21: Trigonometry-2 In Greek this just means: Working with Triangles.

Label the Sides

M

N

O

Hypotenuse

MN

MO

NO Well Done!

Opposite

Adjacent

Page 22: Trigonometry-2 In Greek this just means: Working with Triangles.

Label the Sides

You are working with angle B. Which side is the hypotenuse?

A

B

C

AC

AB

BC

Page 23: Trigonometry-2 In Greek this just means: Working with Triangles.

Label the Sides

You are working with angle A. Which side is the adjacent side?

A

B

C

AC

AB

BC

Page 24: Trigonometry-2 In Greek this just means: Working with Triangles.

Label the Sides

You are working with angle B. Which side is the opposite side?

A

B

C

AC

AB

BC

Page 25: Trigonometry-2 In Greek this just means: Working with Triangles.

Label the Sides

You are working with angle B. Which side is the adjacent side?

A

B

C

AC

AB

BC

Page 26: Trigonometry-2 In Greek this just means: Working with Triangles.

Label the Sides

You are working with angle A. Which side is the opposite side?

A

B

C

AC

AB

BC

Page 27: Trigonometry-2 In Greek this just means: Working with Triangles.

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

Page 28: Trigonometry-2 In Greek this just means: Working with Triangles.

Well Done!

Page 29: Trigonometry-2 In Greek this just means: Working with Triangles.

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