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Prove that : 4\ R\ sin AsinB\ sin C=acos...

Prove that : `4\ R\ sin AsinB\ sin C=acosA+b\ cos B+c cosCdot`

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ALLEN-SOLUTION AND PROPERTIES OF TRIANGLE-All Questions
  1. The value of (cosA)/(P1)+(cosB)/(P2)+(cosC)/(P3) is

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  2. Statement - I : The statement that circumradius and inradius of a t...

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  3. Prove that : 4\ R\ sin AsinB\ sin C=acosA+b\ cos B+c cosCdot

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  4. If p1,\ p2, p3 are the altitudes of a triangle from the vertices A , B...

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  5. For any triangle ABC, If B=3C, show that cosC=sqrt((b+c)/(4c)) and s...

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  6. A B C is a triangle. D is the mid point of B Cdot If A D is perpendicu...

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  7. Prove that r1+r2+r3-r=4R

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  8. In a Delta ABC, GA,GB,GC makes angles alpha, beta, gamma with each oth...

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  9. In a DeltaABC, the median to the side BC is of length 1/sqrt(11-6sqrt...

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  10. Prove that : (r1)/(b c)+(r2)/(c a)+(r3)/(a b)=1/r-1/(2R)

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  11. Prove that : (tanA/2)/((a-b)(a-c))+(tanB/2)/((b-a)(b-c))+(tanC/2)/((c-...

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  12. Prove that in a triangle (b c)/(r1)+(c a)/(r2)+(a b)/(r3)=2R\ [(a/b+b...

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  13. In a triangle, if the angles A , B ,a n dC are in A.P. show that 2cos1...

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  14. In a scalene triangle ABC the altitudes AD & CF are dropped from the v...

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  15. Let a, b, c be the sides of a triangle & Delta its area. Prove that a^...

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  16. If in a triangle of base 'a', the ratio of the other two sides is r ( ...

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  17. If Delta is the area of a triangle with side lengths a, b, c, then s...

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  18. Which of the following pieces of data does NOT uniquely determine an ...

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  19. If a ,b ,c are the sides of a triangle such that a : b : c=1:sqrt(3...

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  20. If a ,b ,c denote the lengths of the sides of a triangle opposite t...

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