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

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The Area of a Triangle
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Which method finds triangle area when all 3 sides are known but no angles?

Heron's rule

What is the formula for triangle area using base and height?

12×b×h\frac{1}{2} \times b \times h

The height in 12×b×h\frac{1}{2} \times b \times h must be what to the base?

Perpendicular

When do you use 12bcsinA\frac{1}{2}bc \sin A to find triangle area?

When 2 sides and angle between known

In the formula 12bcsinA\frac{1}{2}bc \sin A, which sides does angle AA lie between?

Sides bb and cc

What is ss in Heron's formula?

The semi-perimeter

What is Heron's formula for triangle area?

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

A triangle occupies what fraction of a rectangle with same base & height?

Exactly half

What should you calculate first when using Heron's rule?

The semi-perimeter ss

Why is calculator mode important when using 12bcsinA\frac{1}{2}bc \sin A?

To match degrees or radians

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