SOLUTION: A right triangle has one leg four times as long as the other. Find a function that models its perimeter P in terms of the length x of the shorter leg.

Question 222375: A right triangle has one leg four times as long as the other. Find a function that models its perimeter P in terms of the length x of the shorter leg.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A right triangle has one leg four times as long as the other. Find a function that models its perimeter P in terms of the length x of the shorter leg.
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Let shortest leg be "x"
2nd leg = 4x
hypotenuse = sqrt(x^2 + (4x)^2) = sqrt(17x^2) = x*sqrt(17)
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Perimeter = x + 4x + x*sqrt(17)
P = (5+sqrt(17)x
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Cheers,
Stan H.
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