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In a triangle ABC, the incircle touches...

In a triangle ABC, the incircle touches the sides BC, CA and AB at D,E,F respectively. If radius of incircle is 4 unit and BD,CE and AF be consecutive natural numbers. The sum of the cubes of the length of the sides is `lambda,` then `lambda/2079` is ........

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PATHFINDER-SOLUTION OF TRIANGLE AND HEIGHT AND DISTANCE-QUESTION BANK
  1. The sides of a cyclic quadrilateral are in A.P., the shortest is 6 an...

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  2. In DeltaABC, r/r1=1/2, then the value of tan(A/2)(tan(B/2)+tan(C/2)) m...

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  3. In a triangle ABC, the incircle touches the sides BC, CA and AB at D,...

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  4. In triangle ABC, a=5,b=4,c=3. G is the centroid of triangle. If R1 b...

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  5. In the adjacent figure 'P' is any arbitrary interior point of the tria...

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  6. Prove that asin(B-C)+bsin(C-A)+csin(A-B)=0.

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  7. Prove that 1-tan(A/2)tan(B/2)=(2c)/(a+b+c).

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  8. Prove that acosA+bcosB+ccosC=2asinBsinC.

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  9. prove that cosA +cosB+cosC=1+r/R.

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  10. The sides of a triangle are x^2+3x+3,2x+3,x^2+2x. Find the greatest a...

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  11. If P1,P2,P3 be the altitudes of a triangle from the vertices A,B,C Res...

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  12. If in triangleABC ,a^4+b^4+c^4=2c^2(a^2+b^2) then find angleC

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  13. Let h1,h2,h3 be the altitudes of the DeltaABC and let the inradius be ...

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  14. For any triangle ABC, find the value of (bc cos^2(A/2)+cacos^2(B/2)+a...

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  15. If in a DeltaABC, sin^3A+sin^3B+sin^3C=3sinA.sinB.sinC,then find the v...

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  16. AD is a median of the DeltaABC.If AE and AFare medians of the triangle...

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  17. In a triangle DeltaXYZ, let a,b and c be the lengths of the sides opp...

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  18. In a triangle DeltaXYZ, let a, b, and c be the length of the sides opp...

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  19. If the angles of elevation of the top of a water from three collinear ...

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  20. If in a triangle DeltaABC,a^2cos^2A-b^2-c^2=0, then

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