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A triangle side are few 7 cm, 4sqrt3 cm...

A triangle side are few `7 cm, 4sqrt3 cm` and` sqrt(13) cm` then the smallest angle is

A

`(pi)/(6)`

B

`(pi)/(3)`

C

`(pi)/(4)`

D

`(pi)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
A
Let `a=7cm,b=4sqrt(3)cmandc=sqrt(13)cm`.
Here ,we see that the smallest side is c.
Therefore ,the smallest angle will be C.
`thereforecosC=((7)^(2)+(4sqrt(3))^(2)-(sqrt(13))^(2))/(2xx7xx4sqrt(3))=(sqrt(3))/(2)`
`rArrangleC=(pi)/(6)`
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