Area of a Triangle (HSC SSCE Mathematics Standard): Quizzes

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Area of a Triangle
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What info is needed to find a triangle's area using the sine formula?

Two sides & included angle

What is the included angle?

The angle between the two sides used

Complete: Area equals half the product of two sides multiplied by the ___ of the included angle.

sine

For sides aa and cc with included angle BB, which formula should you use?

A=12acsin⁡BA = \frac{1}{2}ac \sin B

What calculator mode must you use when calculating sine values?

Degree mode

What does SAS stand for in the context of this formula?

Side-Angle-Side

Find area of triangle with sides 1515 cm and 2424 cm, included angle 40°40°. (nearest cm²)

116 cm²

In triangle ABC, which angle is included between sides bb and cc?

Angle AA

In the derivation, sin⁡C=ha\sin C = \frac{h}{a} rearranges to give what?

h=asin⁡Ch = a \sin C

What happens if you use the wrong angle (not the included angle)?

You get an incorrect result

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