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If A=30^(@),c=7sqrt(3) and C=90^(@) in ...

If `A=30^(@),c=7sqrt(3) and C=90^(@)` in `DeltaABC`, then a =

A

`7 sqrt(3)`

B

`7sqrt(3)//2`

C

`7//2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
We have, `C = 90^(@)`.
`therefore sinA=(a)/(c)impliesa=csinA=7sqrt(3)sin30^(@)=(7sqrt(3))/(2)`
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OBJECTIVE RD SHARMA ENGLISH-SOLUTIONS OF TRIANGLES -Exercise
  1. If A=30^(@),c=7sqrt(3) and C=90^(@) in DeltaABC, then a =

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  2. If b=3,c=4,a n dB=pi/3, then find the number of triangles that can be ...

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  3. If the data given to construct a triangle ABC are a = 5, b= 7, sin A=3...

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  4. We are given b, c and sin B such that B is acute and b lt c sin B. The...

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  5. In a A B C ,if=2,/B=60^0a n d/C=75^0 , then b= sqrt(3) (b) sqrt(6) ...

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  6. In DeltaABC, if A = 30^@,b= 8,a=6, B = sin^-1 x, then x=

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  7. If a=2, b=3, c=5 " in "DeltaABC, then C=

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  8. In DeltaABC, if the sides are 7, 4sqrt(3) and sqrt(13) cm, prove tha...

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  9. In a DeltaABC, if c = 2, A=120^(@), a=sqrt(6), then C=

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  10. If A=30^0, a=7,a n db=8 in A B C , then find the number of triangles ...

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  11. If a DeltaABC, b=2, C=60^(@), c=sqrt(6), then a =

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  12. In DeltaABC, let a=5, b=4 and cos (A-B=(31)/(32)), then which of the f...

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  13. In a DeltaABC, If A=30^@,b=2,c=sqrt3+1, then (C-B)/2 is

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  14. In a DeltaABC if a = 2, b=sqrt(6),c=sqrt(3)+1, then cos A=

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  15. In a DeltaABC, if A=45^(@), b=sqrt(6), a=2, then B=

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  16. In a triangle, the lengths of the two larger sides are 10 and 9, res...

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  17. The sides of a triangle are 3x + 4y, 4x + 3y and 5x+5y units, where x ...

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  18. In a Delta ABC, a,b,A are given and c(1), c(2) are two values of the ...

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  19. In the ambiguous case, if a, b and A are given and c(1), c(2) are the ...

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  20. In the ambiguous case, if a, b and A are given and c(1), c(2) are the ...

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  21. The smallest angle of the triangle whose sides are 6 + sqrt(12), sqrt(...

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