• November 29th 2005, 04:06 PM
runnerforhim
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!?
• November 29th 2005, 04:25 PM
Jameson
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.
• November 29th 2005, 05:38 PM
runnerforhim
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