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Math Help - Pythagoras' Theorem

  1. #1
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    Pythagoras' Theorem

    A right angle has a hypotenuse of 47.3cm and one other side of 30.8cm. Find the area of the triangle. Thank You

    P.S. Could you please tell me the formula I should use for this ?
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Pythagoras' Theorem.

    The first formula we will use here is, well, Pythagoras' Theorem. We use it to find the length of the other side, and then use the half-base*height formula to find the area. Here goes:

    Using a^2=b^2+c^2 (where a is the length of the hypotenuse, b,c the length of the other two sides)

    => a^2 - b^2 = c^2
    using a=47.3, b=30.8, we get

    47.3^2 - 30.8^2 = c^2
    1288.7 = c^2
    squareroot(1288.7) = c
    => c = 35.9

    For area:
    0.5*30.8*35.9 = 552.8 cm^2
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