Topics
4. Trigonometry
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AustraliaNSW
Year 11

4.03 Cosine rule

Lesson
Worksheet
Practice

Interactive practice questions

Find the length of $a$a using the cosine rule.

Round your answer to two decimal places.

A triangle with its vertices labeled as A, B, and C. The angle at vertex A measures $33^\circ$33°. The side opposite to the $33^\circ$33° angle, side $BC$BC, is labeled $a$a units, indicating its unknown length. Side $AB$AB measures $30$30 units, as shown by the scale line beneath it. Side $AC$AC measures $13$13 units. Side $AB$AB and Side $AC$AC are adjacent to the $33^\circ$33° angle at vertex A.
Easy
3min

Find the length of $a$a using the cosine rule.

Round your answer to two decimal places.

Easy
2min

Find the length of $q$q using the cosine rule.

Round your answer to two decimal places.

Easy
2min

Find the length of $a$a using the cosine rule.

Round your answer to two decimal places.

Easy
1min
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Outcomes

MA11-1

uses algebraic and graphical techniques to solve, and where appropriate, compare alternative solutions to problems

MA11-3

uses the concepts and techniques of trigonometry in the solution of equations and problems involving geometric shapes

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