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RangO!!

  • one year ago

Prove that: Δ=4.Rr cos a/2.cos b/2. cos y/2

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  1. RangO!!
    • one year ago
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    help, pls

  2. RolyPoly
    • one year ago
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    What is Rr and what is \(\Delta\) here represents??

  3. RangO!!
    • one year ago
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    radius and delta

  4. RangO!!
    • one year ago
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    Δ is the sign of delta !

  5. RolyPoly
    • one year ago
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    Do you have a diagram for this question?

  6. RangO!!
    • one year ago
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    the question written above is the exact question from the book :) The whole question is this : Prove for any Δ ABC : Δ=4.Rr cos a/2.cos b/2. cos y/2, where all the symbols have thier usual meaning.

  7. RolyPoly
    • one year ago
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    I understand that a, b are the angles, but not y, and delta. Δ in ΔABC means triangle Δ itself have the meaning of change, or discriminant. But I don't know the meaning of delta in this case, i.e. Δ = 4 r cos....

  8. RangO!!
    • one year ago
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    a, b , c are the sides -_-

  9. RolyPoly
    • one year ago
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    No c in your question...

  10. RolyPoly
    • one year ago
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    But I guess I'd better go, since I don't know how to solve your problem. I'm sorry!!

  11. RolyPoly
    • one year ago
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    What is the radius of a triangle?

  12. RolyPoly
    • one year ago
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    I mean radius is for circle right?

  13. genius12
    • one year ago
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    Can you type that out in latex/equation editor?

  14. AccessDenied
    • one year ago
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    There is a lot of ambiguity with the symbols used here, but I'll try to interpret what I understand to be the question? \( \displaystyle \triangle = 4 R r \cos \frac{\alpha}{2} \cos \frac{\beta}{2} \cos \frac{\gamma}{2}\) Triangle, which I assume is area of the triangle ABC, is equal to 4 times R (the circumradius) times r (the inradius) times the cosine of each angle (where the y is an attempted translation of gamma. I've never seen this identity so I don't know for sure if it is correct, but I'll try to research it more.

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