Question

I have a question about the area of the triangle.
I need you to show me how to do this in the fastest way. Guide me, don't do my work!

Answer 1

AE+ED=AD=4, and ECD and EAB are similar (right?), so AE is to AB as ED is to CD. Can you take it from there?

Answer 2

Well, the question doesn't say that ECD and AEb are proportional, so can we just assume that?

Answer 3

See, they are right-angled, and share an angle at E (so all corresponding pairs of angles are equal, so triangles are similar).

Answer 4

I thin I get that
so your saying if 2 angles are equal than the third triangles are also equal. Ok,
then what?

Answer 5

I mean 3rd angles, not 3rd triangles.

Answer 6

Hmmmm, give me a minute or two.

Answer 7

So AEB is times 3= AEC

Answer 8

Not exactly but you are close.

Answer 9

Yes perfect!!!!! Now we need to find AE, Do you know how to do this?

Answer 10

1 1/3?

Answer 11

No wrong! hold on!

Answer 12

Good! You caught yourself.

Answer 13

I will jump in when you need me i am going to be drawing it out so it will take a few minutes.

Answer 14

So the triangles ECD and ABE are proportional b/c angles CED=AEB, angles BAE=EDC
and therefore ECD=ABE.

Answer 15

BAM! You got it!

Answer 16

And AE= 3 /3 (b/c the triangles are proportional times 3) =1

Answer 17

So ED=3