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what is the perimeter of a right triangle with legs 6 cm and 3cm , leave the answer in simplest radical form

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  1. first we solve for hypotenuse:
    to get the hypotenuse we use pythagorean theorem:
    c^2 = a^2 + b^2
    where
    c = hypotenuse of the right triangle
    a and b = legs of right triangle
    substituting,
    c^2 = 6^2 + 3^2
    c^2 = 36 + 9
    c^2 = 45
    c = 3*sqrt(5)
    therefore the perimieter is:
    P = a + b + c
    P = 6 + 3 + 3*sqrt(5)
    P = 9 + 3*sqrt(5) cm

    hope this helps~ :)

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