ydouglas81p99ebg ydouglas81p99ebg
  • 25-05-2018
  • Mathematics
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How am I supposed to find out which one is smallest?

How am I supposed to find out which one is smallest class=

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jimthompson5910 jimthompson5910
  • 25-05-2018
Rule: For any triangle, the smallest angle is always opposite the smallest side. 
(a similar rule is that the largest angle is opposite the largest side)

We see that AC = 9 is the shortest side. Angle B is opposite this side. Therefore, angle B is the smallest angle. We don't know what angle B is in terms of a number and we don't need to find out. 

Answer: choice B) angle B

side note: we could use the law of cosines to actually compute the numeric value of angle B, but that's more work than needed

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