QQuestionAnatomy and Physiology
QuestionAnatomy and Physiology
Find the coordinates of the circumcenter of the triangle with the given vertices:
A(2, 6), B(8, 6), C(8, 10)
6 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1I'll solve this step-by-step using precise LaTeX formatting:
Step 2: Understand the Circumcenter
The circumcenter is the point where the perpendicular bisectors of the triangle's sides intersect. This point is equidistant from all three vertices and is the center of the circumscribed circle.
Final Answer
Verification: - Distance from (5, 8) to A(2, 6): \sqrt{(5 - 2)^{2} + (8 - 6)^{2}} = \sqrt{3^{2} + 2^{2}} = \sqrt{9 + 4} = \sqrt{13} - Distance from (5, 8) to B(8, 6): \sqrt{(5 - 8)^{2} + (8 - 6)^{2}} = \sqrt{(- 3)^{2} + 2^{2}} = \sqrt{9 + 4} = \sqrt{13} - Distance from (5, 8) to C(8, 10): \sqrt{(5 - 8)^{2} + (8 - 10)^{2}} = \sqrt{(- 3)^{2} + (- 2)^{2}} = \sqrt{9 + 4} = \sqrt{13}
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students