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AS 2.8 Non-Right Angle Triangles

Triangles HOME | Achievement Criteria | Pythagoras | Trigonometry | Area | Sin Rule | Cosine Rule | Radians | Revision

Achievement Standard 2.8 Triangles continues from level 1 pythagoras & Trigonometry, with non-right angle triangles.

Several new concepts are introduced: the sine rule, cosine rule - for finding angles and side lengths, as well as the sine rule for the area of a triangle.

Starters | Web version

1



Overview

Review Pythagoras: finding the hypotenuse or a shorter side Pythagoras

Achievement Standard

Overview | MR Notes, Blank notes | Applications

p386 Ex 27.01
p389 Ex 27.02
p394 Ex 27.03

Assessment Criteria | Animation

 

2



Trigonometry

Trigonometry: finding a side or angle

 

MR Notes, Blank notes

p402 Ex 28.01 find side
p404 Ex 28.02 find angle
p406 Ex 28.03 Applications

p414 Ex 29.01

 
3



Applications & trigonometry practice

Solving Pythagoras and trigonometric application problems including elevation & depression Trigonometry

MR notes, Blank notes

p412 Ex 29.01 3D Situations,
p414 Ex 29.02 With angles,
p417 Ex 29.03 Lines & Planes,
p419 Ex 29.04 Planes,
p420 Ex 29.05 Mixed

p416 Ex 29.02
p419 Ex 29.03

p?

 

4



Area of triangles

Calculating the area of triangles using 1/2abSinC Triangle Area

MR notes, Blank notes

p412 Ex 29.04

 

p?

Area of a triangle (java)

5



Sine Rule Finding a Side

Using the sine rule to calculate sides and angles Sine Rule

 

Properties of triangles | MR notes, Blank notes

p424 Ex 30.01
p425 Ex 30.02

You Tube: Imagine there is no sine rule - this is a shocker

p?

Sine rule to find a Side ( java)

6



Sine Rule finding an Angle

Using the sine rule to calculate sides and angles Sine Rule

   

MR notes, Blank notes

p427 Ex 30.03
p427 Ex 30.04

| You Tube: Imagine there is no sine rule - this is a shocker

p?

Sine rule to find an Angle (java)

7



Sine rule Applications

Using the Sine Rule to solve application problems and the ambiguous case

MR notes, Blank notes

p428 Ex 30.05
p431 Ex 30.06

p?

8



Cosine Rule find a Side

Using the Cosine rule to find unknown side Cosine Rule

MR notes, Blank notes

p435 Ex 31.01
p436 Ex 31.02

Youtube proof of Cosine rule

p?

Cosine rule to find a Side (java)

9



Cosine Rule find an Angle

Using the Cosine rule to find unknown angle Cosine Rule

MR notes, Blank notes

p439 Ex 31.03
p439 Ex 31.04

Youtube proof of Cosine rule

p?

Cosine rule to find an Angle (java)

10



Cosine Rule Applications

Using the Cosine rule to solve application problems for sides and angles

MR notes, Blank notes

p442 Ex 31.05
p442 Ex 31.06

p?

 

11



Mixed Problems

Solving application problems involving the Sine, Cosine, Pythagoras

 

p449 Ex 32.04

 

p?

 

12



Mixed Problems(cont)

Solving application problems involving the Sine, Cosine, Pythagoras

p449 Ex 32.04

 
13



Revision

 

Word Doc: Notes

 

 

 

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