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In any Delta A B C , prove that: 2(bc c...

In any ` Delta A B C ,` prove that: `2(bc cosA+cacosB+a bcosC)=a^2+b^2+c^2`

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RD SHARMA ENGLISH-SINE AND COSINE FORMULAE AND THEIR APPLICATIONS-All Questions
  1. In any Delta A B C , prove that: a(b\ cos C-c cosB)=b^2-c^2

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  2. In any Delta A B C , prove that: (cos A)/a+(cos B)/b+(cos C)/c=(a^2+b...

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  3. In any Delta A B C , prove that: 2(bc cosA+cacosB+a bcosC)=a^2+b^2+c^...

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  4. In a Delta A B C , prove that: (b^2-c^2)cotA+(c^2-a^2)cot B+(a^2-b^2)...

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  5. In a Delta A B C , prove that: ((b^2-c^2)/(a^2))sin2A+((c^2-a^2)/(b^2)...

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  6. In any DeltaA B C prove that acosA+bcosB+c cosC=(8Delta^2)/(a b c)dot

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  7. Two ships leave port at the same time. One goes 24 km per hour in the ...

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  8. A lamp post is situated at the middle point M of the side AC of a t...

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  9. Two trees, A and B are on the same side of a river. From a point C in ...

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  10. In a A B C , prove the following : In a DeltaA B C ,\ if\ a=5, \ b=6...

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  11. In a DeltaA B C , prove the following :\ If\ a=sqrt(2),\ b=sqrt(3)\ a...

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  12. In a DeltaA B C , prove the following : The sides of a triangle area ...

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  13. In a Delta A B C ,If a=18 ,\ b=24 ,\ c=30 , find the value of cos A ,...

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  14. In a DeltaA B C , prove the following : c\ (acosB-bcosA)=a^2-b^2dot

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  15. In a DeltaA B C , prove the following : (c^2-a^2+b^2)tanA=(a^2-b^2+c^...

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  16. In a Delta A B C , prove the following : (c-b\ cos A)/(b-c\ cos A)=(c...

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  17. In a Delta A B C , prove the following : \ a(cos B+cos C-1)+b(cos C+c...

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  18. In a DeltaA B C , prove the following : a\ cos A+b\ cos B+c cos C=2bs...

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  19. In a Delta A B C , prove the following : a^2=(b+c)^2-4bc cos^2(A/2)dot

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  20. In a DeltaA B C , prove the following : 4\ (b c cos^2(A/2)+c acos^2(B...

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