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Mathematics 21 Online
OpenStudy (anonymous):

How can I prove that this is HL (hypotenuse leg)? Or SAS?

OpenStudy (anonymous):

OpenStudy (tkhunny):

Maybe, but it may be easier another way. What do you know about the relationship between \(\overline{AB}\;and\;\overline{DE}\)

OpenStudy (anonymous):

honestly i don't really know what I could do to make that part congruent or what their relationship is.

ganeshie8 (ganeshie8):

can u prove it using AAS ? or oly HL and SAS are allowed here ?

OpenStudy (anonymous):

only HL and SAS :/

ganeshie8 (ganeshie8):

why ?

ganeshie8 (ganeshie8):

in the question, it doesnt say use oly HL/SAS ?

ganeshie8 (ganeshie8):

below are the congruence theorems/postulates which we can freely use :- 1) SSS 2) SAS 3) AAS 4) ASA 5) HL

OpenStudy (anonymous):

Because it's part of a project and for this one question we have to use those two, is their another way? Because i've been at this for a while so i'll tell my teacher i couldn't do it any other way :/

ganeshie8 (ganeshie8):

we can do it using HL/SAS

OpenStudy (anonymous):

what do i need to do to make it prove it's one of those two?

ganeshie8 (ganeshie8):

let me show u

OpenStudy (anonymous):

ok thanks

ganeshie8 (ganeshie8):

1) \(BC \cong DC\) 1. Given 2) \(\angle ACB \cong \angle ECD\) 2. By Vertical angles theorem 3) \(\triangle ABC \cong \triangle EDC\) 3. By LA congruence theorem 4) \(\angle A\cong \angle E\) 4. By CPCTC

OpenStudy (anonymous):

umm i haven't learned what LA congruence theorem is :/

ganeshie8 (ganeshie8):

i have used LA congruence, which is also like HL for right triangle. hope thats ok

ganeshie8 (ganeshie8):

LA = Leg Angle

OpenStudy (anonymous):

ok, thank you for your help :D

ganeshie8 (ganeshie8):

np :) i just dont think HL/SAS is a good idea here. check wid ur teacher ok

OpenStudy (anonymous):

ok i will thanks

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