Topics
8. Triangular & Circular Functions
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Math 3

8.09 Law of cosines

Lesson
Practice

Interactive practice questions

Find the length of $a$a using the law of cosines.

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 law of cosines.

Round your answer to two decimal places.

Easy
2min

Find the length of $a$a using the law of cosines.

Round your answer to two decimal places.

Easy
2min

Find the length of $q$q using the law of cosines.

Round your answer to two decimal places.

Easy
2min
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Outcomes

G-SRT.10

(+) Prove the laws of sines and cosines and use them to solve problems.

G-SRT.11

(+) Understand and apply the law of sines and the law of cosines to find unknown measurements in right and non-right triangles.

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