The radius of a circle inscribed in 2 triangles

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Homework Help Overview

The discussion revolves around the problem of finding the radius of a circle inscribed in two triangles, touching on concepts of triangle similarity and trigonometric functions.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relevance of triangle similarity and trigonometric definitions. Some provide mathematical expressions related to the problem, while others inquire about the original poster's prior attempts and understanding.

Discussion Status

The discussion is ongoing, with some participants offering insights into the problem and suggesting avenues for exploration, such as considering the angles of the triangles involved. There is no explicit consensus on the approach yet.

Contextual Notes

There is mention of the original poster's confusion regarding the problem and a note that it may not fit typical homework guidelines, indicating a potential lack of structured attempts at solving it.

eXmag
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Hi guys, was wondering if anyone could help me solve this problem. Thanks!
 
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Have you been taught the concept of similarity of triangles and/or pythagorean theorem or the definition of trigonometric functions? In any case you should show us any attempts you ve made.
 
It looks trivial. cos(x)=B/E, sin(x)=r/B. (r/B)^2+(B/E)^2=1,r=B\sqrt{1-(B/E)^2}
 
Homework in the wrong forum and without the template or attempts at work done should be reported only.
 
This isn't school homework which is why I didn't post it here in the first place. Its a problem that I've encountered and was asking for help as I have no idea how to solve it. That's it.
 
Thanks for your help mathman, your reply is all I was looking for.
 
you can do this problem by thinking about similar triangles. Have a go at it, think for a bit about the angles of various triangles. If two triangles contain the same angles, then they are similar.
 

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