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In a triangle ABC the angle A=60^(@) and...

In a triangle ABC the angle `A=60^(@)` and `b:c = (sqrt(3)+1):2`. Find the other two angles B and C.

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The correct Answer is:
`B= 75^(@), C=45^(@)`
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  10. If in a triangle ABC, (a-b+c)/2 = ab/(b+c-a) then prove that angleC=90...

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  11. If a=3, b=4, c=5, find the value of tan( B/2).

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  12. If a=2b and A=3B, find the angles of the triangle ABC.

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  13. (i) (b+c) cos A + (c+a) cosB + (a+b) cos C= a+b+c

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  14. (ii) (b-c) sin A + (c-a) sinB+ (a-b) sinC=0

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  15. (iii) a(b cosC - c cosB) = b^(2) -c^(2)

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  16. (iv) a^(2)(cos^(2) B - cos^(2)C) + b^(2) (cos^(2) C- cos^(2)A) + c^(2)...

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  17. (v) 2(bc cosA + ca cosB + ab cosC) = a^(2) +b^(2)+c^(2)

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  18. (vi) (a^(2)-b^(2) -c^(2))tan A + (a^(2) - b^(2) +c^(2))tan B=0

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  19. (vii) (b^(2) +c^(2) -a^(2)) tan A = (a^(2) -b^(2) +c^(2))tan B

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  20. (viii) (b+c-a) tan( A/2) = (c+a-b) tan( B/2) = (a+b-c) tan C/2

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