The Area of a Triangle (Leaving Cert Mathematics): Flashcards

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The Area of a Triangle
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Triangle notation: angles represented by

Capital letters (A, B, C)

Triangle notation: sides represented by

Lowercase letters (a, b, c)

Side opposite to angle A

Side a

Area formula with sides aa, cc and angle BB

12acsin⁡B\frac{1}{2}ac \sin B

Area formula with sides aa, bb and angle CC

12absin⁡C\frac{1}{2}ab \sin C

Required position of angle in area formula

Between the two sides

Formula for sin⁡C\sin C given area and sides aa, bb

sin⁡C=2×Areaab\sin C = \frac{2 \times \text{Area}}{ab}

Calculator mode for Leaving Cert trig

Degree mode

Function to find angle from sine value

sin⁡−1\sin^{-1} (inverse sine)

Required in final answer for area problems

Units

Area = half product of two sides times...

Sine of angle between them

Most common error applying area formula

Angle not between the two sides used

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