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The sides of a triangle are in a ratio o...

The sides of a triangle are in a ratio of 4:5:6. the smallest angle is

A

`82^(@)`

B

`69^(@)`

C

`56^(@)`

D

`41^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
Use the Law of cosines. Let the sides be 4,5 annd 6. 16=25+36-60 cosA.
`CosA=(45)/(60)=(3)/(4)`, which implies that `A=cos^(-1)(0.75)~~41^(@)`.
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