- #1
eXmag
- 36
- 0
Hi guys, was wondering if anyone could help me solve this problem. Thanks!
The radius of a circle inscribed in 2 triangles
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SUMMARY
The discussion focuses on calculating the radius of a circle inscribed in two triangles using concepts of similarity and trigonometric functions. Key formulas mentioned include cos(x) = B/E and sin(x) = r/B, leading to the relationship r = B√(1 - (B/E)²). The importance of understanding similar triangles and the Pythagorean theorem is emphasized for solving the problem effectively. Participants are encouraged to demonstrate their attempts to solve the problem rather than seeking direct answers.
PREREQUISITES- Understanding of similarity of triangles
- Knowledge of the Pythagorean theorem
- Familiarity with trigonometric functions
- Basic algebraic manipulation skills
- Study the properties of similar triangles in-depth
- Learn how to apply the Pythagorean theorem in various geometric contexts
- Explore trigonometric identities and their applications
- Practice problems involving inscribed circles in triangles
Students studying geometry, mathematics educators, and anyone interested in applying trigonometric concepts to solve geometric problems.
Hi guys, was wondering if anyone could help me solve this problem. Thanks!
- #2
Delta2
Homework Helper
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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.
- #3
mathman
Science Advisor
Homework Helper
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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}
- #4
Evo
Staff Emeritus
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Homework in the wrong forum and without the template or attempts at work done should be reported only.
- #5
eXmag
- 36
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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.
- #6
eXmag
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Thanks for your help mathman, your reply is all I was looking for.
- #7
BruceW
Science Advisor
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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.