Topics
7. Trigonometry
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AustraliaQLD
Year 12

7.05 Area of a non-right-angled triangle

Lesson
Worksheet
Practice

Interactive practice questions

Calculate the area of the following triangle.

Round your answer to two decimal places.

A triangle is depicted with the measurements of its two sides and their included angle. The included angle, highlighted by a blue-shaded arc, measures $50^\circ$50° and is adjacent to sides measuring $12$12 m and $13.1$13.1 m.
Easy
2min

Calculate the area of the following triangle.

Round your answer to two decimal places.

Easy
1min

Calculate the area of the triangle.

Round your answer to two decimal places.

Easy
< 1min

Calculate the area of the triangle.

Round your answer to two decimal places.

Easy
< 1min
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Outcomes

4.2.1.3

establish and use the sine (ambiguous case is required) and cosine rules and the formula 𝐴rea=1/2 bc sin𝐴 for the area of a triangle

4.2.1.4

construct mathematical models using the sine and cosine rules in two- and three-dimensional contexts (including bearings in two-dimensional context) and use the model to solve problems; verify and evaluate the usefulness of the model using qualitative statements and quantitative analysis

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