I'll fan and medal ;)
If ΔABC "equal to or greater than sign" ΔDEC, what is EC?
https://static.k12.com/eli/bb/339/4_108420/2_36337_2_43729/dd6c0b42a1a662d173661c9967a1fddd5c18aa5c/media/19fa6bde19dcb97a267412d779842ff8ee648cc1/mediaasset_1077450_1.jpg

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Question

I'll fan and medal ;)
If ΔABC "equal to or greater than sign" ΔDEC, what is EC?
https://static.k12.com/eli/bb/339/4_108420/2_36337_2_43729/dd6c0b42a1a662d173661c9967a1fddd5c18aa5c/media/19fa6bde19dcb97a267412d779842ff8ee648cc1/mediaasset_1077450_1.jpg
		
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3mar · Answer

"If ΔABC "equal to or greater than sign" ΔDEC"??

What do you mean by this?

kaiiskool · Answer

it this "=" sign with "~" above it

seratul · Answer

That mean's they are similar lol.

3mar · Answer

So these triangles are congruent. What did you get?

kaiiskool · Answer

Sorry, I'm slow sometimes. geometry isnt my strong suit.

kaiiskool · Answer

I actually got 10

seratul · Answer

No, the triangles are similar, not congruent.

seratul · Answer

Wait, I am sorry. I didn't realize you put the equal sign under ~. So they are congruent.

3mar · Answer

Ok. As they are similar, the corresponding sides are proportional and corresponding angles are equal.

kaiiskool · Answer

Alright so that is cleared. Now how do I break down this logic to ensure that I am right?

3mar · Answer

So what are these? congruent or similar?
Pick one and be sure, please!

seratul · Answer

It's congruent. Sorry

seratul · Answer

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kaiiskool · Answer

Ahh man. Thank you guys for breaking it down for me.

3mar · Answer

@Seratul 
this question for you!
Please continue with Kaiiskool!