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In a "Delta"A B C\ ((a^2)/(sinA)+(b^2)/(...

In a `"Delta"A B C\ ((a^2)/(sinA)+(b^2)/(sinB)+(c^2)/(sinC))dotsinA/2sinB/2sinC/2` simplifies to `2"Delta"` (b) `"Delta"` (c) `"Delta"/2` (d) `"Delta"/4` (where`\ "Delta"` is the area of triangle)

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ALLEN-SOLUTION AND PROPERTIES OF TRIANGLE-All Questions
  1. In a triangle A B C\ a : b : c=sqrt(3)\ :1\ :\ 1, then the triangle is...

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  2. The sides of a triangle A B C are x , y ,\ sqrt(x^2+y^2+x y) respectiv...

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  3. In a "Delta"A B C\ ((a^2)/(sinA)+(b^2)/(sinB)+(c^2)/(sinC))dotsinA/2si...

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  4. If p1, p2, p3, be the altitudes of a triangle ABC from the vertices A,...

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  5. If in a triangle A B C angle B=90^0 then tan^2(A/2) is (b-c)/a (b) (b-...

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  6. In a triangle A B C ,\ If (a^3+b^3+c^3)/(sin^3A+sin^3B+sin^3C)=343 , ...

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  7. In a Delta ABC if b+c = 3a then cot. (B)/(2). cot. (C )/(2) has the va...

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  8. If a/(sinA)=K , then the area of "Triangle ABC" in terms of K and sine...

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  9. In a triangle A B C ,/c=60^0a n d/A=75^0 . If D is a point on A C such...

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  10. In a ΔABC, a semicircle is inscribed, whose diameter lies on the side ...

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  11. In a triangle A B C , right angled at B , then r=(A B+B C-A C)/2 b. r=...

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  12. In triangle A B C where A ,\ B ,\ C are acute, the distances of the or...

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  13. In a Delta ABC, show that (a cos A+b cos B+ c cos C)/(a+b+c)= (r )/(R...

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  14. In an equilateral triangle, the inradius, circumradius, and one of the...

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  15. Show that ((1)/(r (1))+ (1)/(r(2)))((1)/(r(2))+(1)/(r (3)))((1)/(r (3)...

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  16. In a triangle A B C ,(r1+r2)/(1+cosC) is equal to (2a b)/(c"Delta") (b...

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  17. With usual notations in a triangle A B C , if r1=2r2=2r3 then 4a=3b (b...

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  18. If r1,\ r2a n d\ r3 be the radii of excircles of the triangle A B C , ...

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  19. a,b,x are in A.P., are in G.P. and a, b, z are in H.P. then:

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  20. In A B C , if r\ : r1: R=2\ : 12\ :5, where all symbols have their us...

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