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

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Non-Right-Angled Triangles
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What does the Sine Rule help find in triangles?

It finds unknown sides or angles in any triangle.

State the Sine Rule formula.

asin⁡A=bsin⁡B=csin⁡C\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}.

When do we use the Sine Rule?

With AAS, ASA, or SSA conditions.

What is the Cosine Rule used for?

Finding unknown sides or angles in any triangle.

State the Cosine Rule formula.

c2=a2+b2−2abcos⁡Cc^2 = a^2 + b^2 - 2ab \cos C.

When is the Cosine Rule applied?

For SAS or SSS triangle conditions.

How to calculate area of a triangle?

Area = 12absin⁡C\frac{1}{2}ab \sin C.

What does CC represent in the area formula A=12absin⁡(C)A = \frac{1}{2}ab \sin(C)?

CC is the angle between sides aa and bb of a triangle.

What is needed to apply the Sine Rule?

Two angles and one side or two sides with a non-included angle.

What is the area of a triangle using two sides and angle?

Area = 0.5⋅a⋅b⋅sin⁡(C)0.5 \cdot a \cdot b \cdot \sin(C) for sides aa, bb and angle CC.

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