The Area of a Triangle (VCE SSCE General Mathematics): Flashcards

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The Area of a Triangle
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Area formula with base and height

Area=12×b×h\text{Area} = \frac{1}{2} \times b \times h

When to use 12bh\frac{1}{2}bh method

When base and perpendicular height are known

Height requirement in area formula

Must be perpendicular to the base

Area formula with 2 sides and angle between

12bcsinA\frac{1}{2}bc \sin A (or other variations)

When to use 12bcsinA\frac{1}{2}bc \sin A formula

Two sides and angle between them known (SAS)

Heron's rule formula

s(sa)(sb)(sc)\sqrt{s(s-a)(s-b)(s-c)}

Semi-perimeter ss formula

s=12(a+b+c)s = \frac{1}{2}(a + b + c)

When to use Heron's rule

All three sides known, no angles or heights (SSS)

Calculator mode for angles in degrees

Degree mode

Which angle in 12bcsinA\frac{1}{2}bc \sin A

Angle A between sides b and c

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