## RangO!! 2 years ago Prove that: Δ=4.Rr cos a/2.cos b/2. cos y/2

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1. RangO!!

help, pls

2. RolyPoly

What is Rr and what is $$\Delta$$ here represents??

3. RangO!!

4. RangO!!

Δ is the sign of delta !

5. RolyPoly

Do you have a diagram for this question?

6. RangO!!

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

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!!

a, b , c are the sides -_-

9. RolyPoly

10. RolyPoly

But I guess I'd better go, since I don't know how to solve your problem. I'm sorry!!

11. RolyPoly

What is the radius of a triangle?

12. RolyPoly

I mean radius is for circle right?

13. genius12

Can you type that out in latex/equation editor?

14. AccessDenied

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.