SOLUTION: A right triangle has a perimeter of 36 cm and an area of 54 cm squared. What are its dimensions?
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Question 704107: A right triangle has a perimeter of 36 cm and an area of 54 cm squared. What are its dimensions?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A right triangle has a perimeter of 36 cm and an area of 54 cm squared. What are its dimensions?
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Check for integer solutions first.
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Area = a*b/2 = 54
a*b = 108
a & b = 9 and 12
9 + 12 + 15 = 36
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The hard way:
ab/2 = 54
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ab = 108
b = 108/a
Sub for b
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a = 0 (Ignore)
(a - 9)*(a - 12) = 0
a = 9, b = 12
or vice versa
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