Practice Useful Applications (10.3) - Properties of Triangles - IB 10 Mathematics – Group 5, Geometry & Trigonometry
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Useful applications

Practice - Useful applications

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Use the Law of Sines to determine side b if angle A = 45°, angle B = 30°, and side a = 6.

💡 Hint: Use the ratio of sides to sine of angles.

Question 2 Easy

Identify the Law of Cosines formula based on given sides and angle.

💡 Hint: Recall that it involves the cosine of an angle.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the Law of Sines allow you to calculate?

Unknown sides and angles
Only unknown sides
Only unknown angles

💡 Hint: Think about the ratios it provides.

Question 2

True or False: The Law of Cosines is only applicable for right triangles.

True
False

💡 Hint: Recall when we discussed its applications.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Triangle MNO has sides m = 10, n = 8, and angle O = 50°. Calculate the remaining angles using the Law of Sines.

💡 Hint: Use the Law of Sines to find angle M, then calculate angle N.

Challenge 2 Hard

In triangle PQR, you know lengths p = 25, q = 30, and angle P = 45°. Find the length of side r using the Law of Cosines.

💡 Hint: Apply the Law of Cosines to determine the length of side r.

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