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Statement - I : In any triangle A B C , ...

Statement - I : In any triangle `A B C` , the minimum values of `(r_1+r_2+r_3)/r` is 9 Because : Statement - II : For any three number `A MgeqG M` A (b) B (c) C (d) D

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Statement 1. In any triangle ABC,if a:b:c=4:5:6, then R:r=16:7 , Statement 2. In any triangle R/r= (abc)/(4s) (A) Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of Statement 1 (B) Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanatioin of Statement 1 (C) Statement 1 is true but Statement 2 is false. (D) Statement 1 is false but Stastement 2 is true

ALLEN-SOLUTION AND PROPERTIES OF TRIANGLE-All Questions
  1. Statement I perimeter of a regular pentagon inscribed in a circle with...

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

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

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

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

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

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

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

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

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

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

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

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

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  14. Let 1 lt m lt 3. ln a Delta ABC, if 2b= (m+1) a and cos A=1/2 sqrt(((m...

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  15. Prove that : 1/(r1)+1/(r2)+1/(r3)=1/r

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

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  17. If r(1), r(2) ,r(3) are the ex-radii of DeltaABC, then prove that (b...

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  18. Consider a D E F , the pedal triangle of the A B C such that A-F-B\ ...

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  19. D E F is the triangle formed by joining the points of contact of the i...

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  20. If sides a , b , c of the triangle A B C are in AdotPdot , then prove ...

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