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Prove that in triangle ABC “tan”(B-C)/2=...

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

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In triangle ABC,, prove that (tan(B-C))/(2),=[(b-c)/(b+c)](cot A)/(2)(tan(C-A))/(2),=[(c-a)/(c+a)](cot B)/(2)(tan(A-B))/(2),=[(a-b)/(a+b)](cot B)/(2)

In any Delta ABC(i)tan((B-C)/(2))=((b-c)/(b+c))(cot A)/(2)(ii)tan((A-B)/(2))=((a-b)/(a+b))(cot C)/(2)(iii)tan((C-A)/(2))=((c-a)/(c+a))(cot B)/(2)

With usual notations prove that in a triangle ABC, cot(A/2)+cot(B/2)+cot(C/2)=s^2/Delta

In triangle ABC ,prove that tan(B-C)/(2)=(b-c)/(b+c)cot(A)/(2)tan(C-A)/(2)=(c-a)/(c+a)cot(B)/(2)tan(A-B)/(2)=(a-b)/(a+b)cot(C)/(2)

Prove that in a triangle ABC , sum (cot B+ cotC)/(tan B + tan C) =1 .

If A,B,C are the interior angles of a triangle ABC, prove that (tan(B+C))/(2)=(cot A)/(2)

In any triangle ABC , prove that tan ((A-B)/(2))=((a-b)/(a+b))cot (C)/(2) .

With usual notations,prove that in a triangle ABC cot A+cot B+cot C=(a^(2)+b^(2)+c^(2))/(4Delta)

Show that in any triangle ABC,(a+b+c)(tan((A)/(2))+tan((B)/(2)))=2c cot((C)/(2))

MAHAVEER PUBLICATION-PROPERTIES OF TRIANGLES-QUESTION BANK
  1. Find the greatest angle of the triangle whose sides measure 3 cm, 4 cm...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. In any triangle A B C , prove that: ("sin"(B-C))/("sin"(B+C))=(b^2-c^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. In any triangle A B C , prove that: (b-c)cot A/2+(c-a)cot B/2+(a-b)cot...

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  19. In any triangle A B C , prove that: \ a^3sin(B-C)+b^3sin(C-A)+c^3sin(A...

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  20. For any triangle ABC, prove that(cosA)/a+(cosB)/b+(cosC)/c=(a^2+b^2+c^...

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