The Basics (Leaving Cert Mathematics): Flashcards

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Area of a Triangle
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Base-height formula for area of triangle

12×base×height\frac{1}{2} \times \text{base} \times \text{height}

Height in base-height formula

Perpendicular distance from opposite vertex to base

Trig formula for area of triangle

12×a×b×sin⁡(C)\frac{1}{2} \times a \times b \times \sin(C)

In 12absin⁡(C)\frac{1}{2}ab\sin(C), what are aa, bb?

Two sides of the triangle

In 12absin⁡(C)\frac{1}{2}ab\sin(C), what is CC?

Angle between the two sides

When to use 12absin⁡(C)\frac{1}{2}ab\sin(C)?

Two sides and included angle known

When to use base-height formula?

Height given or easily determined

Area: base 1010 cm, height 66 cm

30 cm230 \text{ cm}^2

Value of sin⁡(60°)\sin(60°)

32\frac{\sqrt{3}}{2}

Can any side be chosen as base?

Yes, select any side of triangle

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