Practice - Circumcenter (O)
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Practice Questions
Test your understanding with targeted questions
What is the circumcenter of a triangle?
💡 Hint: Think about where the lines that cut each side in half at a right angle would meet.
In an acute triangle, where is the circumcenter located?
💡 Hint: Consider the angles formed by the sides of the triangle.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the circumcenter?
💡 Hint: Remember its definition and its specific properties.
The circumcenter of a right triangle is located where?
💡 Hint: Think about the special properties of right triangles.
1 more question available
Challenge Problems
Push your limits with advanced challenges
A triangle has vertices A(-1, 2), B(3, 10), and C(8, 3). Find the circumcenter of this triangle.
💡 Hint: Use the midpoint formula and slope to get the right equations.
Explain geometrically why the circumcenter lies outside the triangle for obtuse angles with a specific example.
💡 Hint: Visualize how obtuse angles create larger angles opposite shorter sides.
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