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

Practice - Law of Sines & Law of Cosines

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Using the Law of Sines, if A = 40°, a = 8, and B = 60°, find b.

💡 Hint: Use the formula \\( \\frac{a}{\\sin(A)} = \\frac{b}{\\sin(B)} \\)

Question 2 Easy

What does the Law of Cosines help us find?

💡 Hint: Think about situations involving two sides and an included angle!

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the formula for the Law of Sines?

💡 Hint: Think of the sine ratio relating sides to angles.

Question 2

The Law of Cosines can be used to find which of the following in a triangle?

Only angles
Only sides
Both sides and angles

💡 Hint: Consider which relationships it provides.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A triangle has sides a = 7, b = 12, and angle A = 40°. Use the Law of Cosines to find side c.

💡 Hint: Make sure to calculate cos(40°) first for an accurate result.

Challenge 2 Hard

Using triangle ABC with a = 15, A = 60°, and c = 10, apply the Law of Sines to solve for angle B.

💡 Hint: You might need to find angle C first before solving for angle B.

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