The area of a triangle (AQA GCSE Further Maths): Flashcards

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The area of a triangle
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Triangle vertices labeling

Capital letters AA, BB, CC

Triangle sides labeling

Lowercase letters aa, bb, cc (opposite to corresponding vertices)

Side aa is opposite to which vertex?

Vertex AA

Trig area formula with angle AA

12bcsin⁡A\frac{1}{2}bc \sin A

Meaning of 12bcsin⁡A\frac{1}{2}bc \sin A

Half product of 2 sides × sine of angle between them

Info needed for trig area formula

Two sides and the angle between them

Trig area formula with angle BB

12acsin⁡B\frac{1}{2}ac \sin B

Trig area formula with angle CC

12absin⁡C\frac{1}{2}ab \sin C

Which angle to use in trig area formula?

The angle between the two sides chosen

Calculator mode for trig area

Degree mode (unless radians specified)

Units for triangle area

cm2\text{cm}^2 or m2\text{m}^2

Central angle in regular pentagon

360°÷5=72°360° \div 5 = 72°

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