Non-Right-Angled Triangles (AQA A-Level Mathematics): Flashcards

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Non-Right-Angled Triangles
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Sine Rule

asinA=bsinB=csinC\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}

Sine Rule: when (case 1)

2 angles + 1 side (AAS or ASA)

Sine Rule: when (case 2)

2 sides + non-included angle (SSA)

Cosine Rule

c2=a2+b22abcosCc^2 = a^2 + b^2 - 2ab \cos C

Cosine Rule for angle CC

cosC=a2+b2c22ab\cos C = \frac{a^2 + b^2 - c^2}{2ab}

Cosine Rule: when (case 1)

2 sides + included angle (SAS)

Cosine Rule: when (case 2)

3 sides (SSS)

Area of non-right triangle

12absinC\frac{1}{2}ab\sin C

In Sine/Cosine rules: aa, bb, cc

Sides opposite angles AA, BB, CC

In area formula: CC

Angle between sides aa and bb

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