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Prove that in any DeltaABC, a (sin B - s...

Prove that in any `DeltaABC, a (sin B - sin C) + b(sin C - sin A) + c (sin A - sin B) = 0`

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MAHAVEER PUBLICATION-PROPERTIES OF TRIANGLES-QUESTION BANK
  1. Prove that in any DeltaABC, a (sin B - sin C) + b(sin C - sin A) + c (...

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  2. In any triangle ABC, prove thata\ sin\ (B\ \ C)\ +b\ sin\ (C\ \ A)\ +\...

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  3. In any Delta ABC, prove that ”a cos”(B-C)/2=(b+c) “sin” A/2

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  4. If a =2,b=3 and c=4, find cos A, cos B and cos C.

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  5. In any triangle ABC, the side are a=7,b=5 and c=8. Find A.

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  6. Find the greatest angle of the triangle whose sides measure 3 cm, 4 cm...

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  7. In a triangle ABC, prove that (a^2+b^2-c^2)tan C-(b^2+c^2-a^2)tan A=0

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  8. Prove that in triangle ABC “tan”(B-C)/2=(b-c)/(b+c)”cot” A/2

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  9. In triangle ABC , prove that (b+c)cos A +(c+a)cos B +(a+b)cos C=a+b+c.

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  10. If a=3,b=4 and c=5, find cos A, cos B and cos C.

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  11. The sides of a triangle are 8 cm, 10 cm and 12 cm, find the greatest a...

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  12. The sides of a triangle are 3 cm, 5 cm and 7 cm. Find the greatest ang...

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  13. A triangle side are few 7 cm, 4sqrt3 cm and sqrt(13) cm then the smal...

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  14. In any triangle ABC, ifangle C=90^@, AC=4 unit, BC=3, find AB.

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  15. For any triangle ABC, prove that(a+b)/c=(cos((A-B)/2))/(sinC/2)

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  16. For any triangle ABC, prove that(a-b)/c=(sin((A-B)/2))/(cosC/2)

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  17. In any triangle A B C prove that: sin((B-C)/2)=((b-c)/a)cosA/2

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  18. For any triangle ABC, prove that a(bcosC-ccosB)=b^2-c^2

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  19. In DeltaABC, prove that: a(cosC-cosB)=2(b-c)cos^(2)A/2

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  20. In any triangle A B C prove that: sin((B-C)/2)=((b-c)/a)cosA/2

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