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If: cos A/2 = sqrt((b+c)/(2c)), then c^(...

If: `cos A/2 = sqrt((b+c)/(2c))`, then `c^(2)=`

A

`a^2+b^2=c^2`

B

`b^2+c^2=a^2`

C

`c^2+a^2=b^2`

D

none

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • In an acute angled triangle which one of the following is true : (i) (a sec A + b sec B + c sec C)/(tan A. tan B. tan C) = 2R (ii) (cos A)/(sqrt(4 R^(2) - a^(2))) = (cos B)/(sqrt(4R^(2) - b^(2))) = (cos C)/(sqrt(4R^(2) - c^(2))) (iii) b^(2) = a^(2) cos^(2) C + c^(2) cos^(2) A + 2a c cos A. cos C (iv) r cot.(A)/(2) + a = r cot.(B)/(2) + b = r cot.(C )/(2) + c

    A
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    B
    (ii), (iii)
    C
    (i), (ii), (iii)
    D
    (i), (ii), (iii), (iv)

  • If : a * cos A-b * sin A=c, "then" : a * sin A +b* cos A= A) sqrt(a^(2)+b^(2)-c^(2)) B) sqrt(a^(2)-b^(2)+c^(2)) C) sqrt(b^(2)+c^(2)-a^(2)) D) sqrt(b^(2)+c^(2)+a^(2))

    A
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    B
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