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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the formula for the Law of Cosines?
💡 Hint: It relates the sides of the triangle with the cosine of an included angle.
Question 2
Easy
Can you remember how to find the circumcenter of a triangle?
💡 Hint: Think about the properties of bisectors.
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 Cosines help you find in a triangle?
- Area
- Unknown side
- Unknown angle
💡 Hint: Remember which formulas relate sides and angles.
Question 2
True or False: The Law of Sines can be applied if only two sides and one angle are known.
- True
- False
💡 Hint: Think about the ratios involved with angles and sides.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given triangle PQR with sides p = 12, q = 16, and angle P = 45°, use the Law of Cosines to find the remaining side r.
💡 Hint: Start by computing p², q², and the cosine of angle P.
Question 2
Prove using both geometric and algebraic methods that the centroid of any triangle divides each median in a 2:1 ratio.
💡 Hint: Consider working out coordinate averages for clarity.
Challenge and get performance evaluation