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In a A B C ,\ A D is the bisector of th...

In a ` A B C ,\ A D` is the bisector of the angle `A` meeting `B C` at `Ddot` If I is the incentre of the triangle, then `A I\ : D I` is equal to - `(s in B+s in C):\ s in A` (b) `(cos B+cos C): cos A` `cos((B-C)/2):cos((B+C)/2)` (d) `sin((B-C)/2):sin((B+C)/2)`

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ALLEN-SOLUTION AND PROPERTIES OF TRIANGLE-All Questions
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  2. In A B C , on the side B C ,D and E are two points such that B D=D E=...

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  3. In a A B C ,\ A D is the bisector of the angle A meeting B C at Ddot ...

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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. The value of (cosA)/(P1)+(cosB)/(P2)+(cosC)/(P3) is

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  6. The minimum value of (b^2p1)/c+(c^2p2)/a+(a^2p3)/b\ is

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  7. Find the value of a if the value of 2x^2+3x-a is equal to 6 when x=-2.

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  8. Statement - I : If two sides of a triangle are 4 and 5, then its ar...

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  9. Statement I perimeter of a regular pentagon inscribed in a circle with...

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

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  11. Statement - I : In any triangle A B C , the minimum values of (r1+r2+r...

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  12. Statement - I : Area of triangle having sides greater than 9 can be ...

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  13. Let An be the area that is outside a n-sided regular polygon and insid...

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  14. If n=4\ then Bn is equal to : R^2((4-pi))/2 (b) (R^2(4-pisqrt(2)))/2 ...

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  15. (An)/(Bn) is equal to (theta=pi/n) (2theta-sin2theta)/(sin2theta-thet...

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

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  17. Prove that : acosB\ cos C+bcosCcosA+c\ cos AcosB=/R

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  19. Prove that : (a b c)/scosA/2cosB/2cosC/2=

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  20. In a DeltaABC, if B=3C, prove that (i) cosC=sqrt(((b+c)/(4c)))" (i...

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