On the packaging for a triangular sail, the edge measurements for the sail are listed as 7ft x 15ft x 17ft without unfurling the
sail, you want to determine if the sail forms a right triangle, an acute triangle or an obtuse triangle
2 answers:
The law of cosines can be helpful here. The largest angle (C) will be opposite the longest side (c). That law tells us ...
... c² = a² + b² -2ab·cos(C)
Then
... cos(C) = (a² +b² -c²)/(2ab)
We don't actually need the angle. We only need to know the sign of the cosine.
... cos(C) = (7² +15² -17²)/(2·7·15) = -15/210 . . . . negative sign, so C > 90°
The sail has the shape of an obtuse triangle.
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A triangle solver app on your calculator, phone, tablet, or computer can give you the result easily.
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Answer:
See attachment
Step-by-step explanation:
We want to graph the following equation:
x-y+1=0
and
3x+2y=12
For the first equation: x-y+1=0
When x=0, we have 0-y+1=0---->y=1
We plot the point (0,1)
When y=0, we have x-0+1=0---->x=-1
We plot (-1,0)
We draw a straight line through these two points to get the graph of this line.
For the second equation: 3x+2y=12
When x=0,y=6. So we plot (0,6)
When y=0, x=4, So we plot (4,0)
We draw another straight line through them to obtain the graph in the attachment.
