SOLUTION: A right triangle has side lengths that are consecutive integers and a perimeter of 12 feet. What are the angles of the triangle???
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Question 1036004: A right triangle has side lengths that are consecutive integers and a perimeter of 12 feet. What are the angles of the triangle???
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A right triangle has side lengths that are consecutive integers and a perimeter of 12 feet. What are the angles of the triangle???
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x + (x+1) + (x+2) = 12
3x = 9
x = 3
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Sides are 3,4,5
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Let the angles be A, B, C.
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Smallest angle is the angle opposite the smallest side::
sin(A) = 3/5
A = arcsin(3/5) = arcsin(0.6) = 36.87 degrees
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B = arcsin(4/5) = arcsin(0.8) = 53.13 degrees
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C = 90 degrees
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Cheers,
Stan H.
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