Practice Law Of Cosines (10.2) - Properties of Triangles - IB 10 Mathematics – Group 5, Geometry & Trigonometry
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Law of Cosines

Practice - Law of Cosines

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the Law of Cosines formula?

💡 Hint: Remember, it's about one side and the cosine of the included angle.

Question 2 Easy

If a = 3, b = 4, and angle A = 60°, find side c using the Law of Cosines.

💡 Hint: Substitute values carefully into the cosine formula.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the Law of Cosines relate?

Lengths of sides to angles
Angles to area
Angles in a triangle only

💡 Hint: Consider what is involved with side lengths.

Question 2

True or False: The Law of Cosines can only be used for right triangles.

True
False

💡 Hint: Think about the types of triangles you've learned!

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A triangle has sides of lengths a = 11, b = 24 and c = 30. Calculate the angle opposite side a.

💡 Hint: Carefully input side lengths into the formula.

Challenge 2 Hard

You have a triangle with side lengths 6, 8, and 10. Determine if the triangle is acute, right or obtuse.

💡 Hint: Check for each angle using the sides!

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Reference links

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