Practice Useful applications - 10.3 | 1. Properties of Triangles | (IB) Class 10 Mathematics – Group 5, Geometry & Trigonometry
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

Practice Questions

Test your understanding with targeted questions related to the topic.

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.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

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.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation