Side lengths of inscribed triangle

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Homework Help Overview

The problem involves a triangle inscribed in a circle with a radius of 3, where two angles are given: ∠A is 40° and ∠B is 80°. The task is to find the lengths of the sides AB, BC, and AC based on this information.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss the relationship between the angles of the triangle and the sides, referencing the Law of Sines and questioning the relevance of the arcs calculated by the original poster. There are attempts to clarify the relationships between angles and side lengths, with some participants expressing confusion about the hints provided.

Discussion Status

The discussion is ongoing, with various hints and suggestions being shared. Some participants are exploring the Law of Sines while others are questioning its application in this context. There is a mix of understanding and uncertainty regarding the relationships and methods to find the side lengths.

Contextual Notes

Participants note the lack of explicit consensus on the correct approach, with some expressing doubts about the hints given and the original poster's calculations. The radius of the circle is a key piece of information, but its application in the problem remains under discussion.

  • #31
Noctisdark said:
You should know it or know how to demonstrate it, but maddie did you explain from where you got the 3, not for me but in the papercheet to give to the teacher, maths should be logic and precise, in fact using sine here is a stright direct application of it not turning around loop and using cos,
I couldn't possibly know something I hadn't previously heard of. The fact that the radius is 3 was given in the task. This isn't something I'm handing in, I'm preparing for an exam, so no one but myself sees it :-) That doesn't make it wrong though, haha.
 
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