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Math Help - I'm in a hurry!!! Please help!

  1. #1
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    I'm in a hurry!!! Please help!

    I have to prove the hypotenuse-leg congruence theorem and I have no idea how. Please help! I've triend everything, and I know you're supposed to use the pathagoeam theorem in it somewhere, but where!?
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  2. #2
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    Start by drawing two triangles with six labeled sides. Then use the Pythagorean indentity to set up equations that you can use for each triangle, so as a^2+b^2=c^2 and d^2+e^2=f^2. Now say that a=d, and that c=f. Start some substituting and trying to solve for one variable that you can show will equal itself.
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  3. #3
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    Question Thanks...is this right?

    Ok...here's a two column proof of what I did. Is it right? A/\B (C IS THE BASE) D/\E (F IS THE BASE)
    (~ means congruent)

    B~E, C~F |GIVEN
    A^2+B^2=C^2 |PATHAGOREAM THEOREM
    A^2+E^2=F^2 |SUBSTITUTION
    A^2=F^2-E^2 | SUBTRACTION
    D^2=F^2-E^2 | SUBTRACTION
    A^2=D^2 | TRANSITIVE
    A=D | SQUARE ROOT
    /\ABC~/\DEF | SSS
    QED
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