SOLUTION: The backyard of Mrs.Perez has a triangular shape with two of the angles measure 95 degrees 25 minutes and 19 degrees and 34 minutes.How long must the other two sides of the backyar
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Question 765994: The backyard of Mrs.Perez has a triangular shape with two of the angles measure 95 degrees 25 minutes and 19 degrees and 34 minutes.How long must the other two sides of the backyard if the side opposite the 19 degrees 34 minutes is 121.25 meters.Also find the other remaining angle.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The two angles' measures add up to
95 degrees 25 minutes + 19 degrees 34 minutes = 114 degrees 59 minutes
Since the measures of all three angles in a triangle always add up to 180 degrees, which could be written as 179 degrees 60 minutes, the third angle measures
179 degrees 60 minutes - 114 degrees 59 minutes = .
The law of sines says that in any triangle the ratio of a side to the sine of the opposite angle is the same for the three side/angle pairs, so if is the side opposite the 65 degrees 1 minute angle,
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Similarly, if is the side opposite the 95 degrees 25 minutes angle,
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