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1. As explained above, this relation is sufficient to compare the area.
2. This information is redundant. Diagonal will always be greater than AE (or other lengths). We need to know the ratio of the sides. Insufficient.

A
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Bunuel

Which triangle, ADE or AEC, has the larger area? ABCD is a rectangle.

(1) DE is longer than EC.
(2) AC is longer than AE


Attachment:
2017-10-22_1743.png


Bunuel can you please explain the solution to this question in a bit of detail?
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jainanant909
Bunuel

Which triangle, ADE or AEC, has the larger area? ABCD is a rectangle.

(1) DE is longer than EC.
(2) AC is longer than AE


Attachment:
2017-10-22_1743.png


Bunuel can you please explain the solution to this question in a bit of detail?

My solution will essentially be the as this one: https://gmatclub.com/forum/which-triang ... l#p1948343 Can you please tell me what's unclear there? Thanks!
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Bunuel
jainanant909
Bunuel

Which triangle, ADE or AEC, has the larger area? ABCD is a rectangle.

(1) DE is longer than EC.
(2) AC is longer than AE


Attachment:
2017-10-22_1743.png


Bunuel can you please explain the solution to this question in a bit of detail?

My solution will essentially be the as this one: https://gmatclub.com/forum/which-triang ... l#p1948343 Can you please tell me what's unclear there? Thanks!

My query arises here:
To find out the Area of Triangle ACE, why are we taking ECxAD

Isn't AD the part of triangle ADE?

Am I missing something here?
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jainanant909
Bunuel
jainanant909

Which triangle, ADE or AEC, has the larger area? ABCD is a rectangle.

(1) DE is longer than EC.
(2) AC is longer than AE

Bunuel can you please explain the solution to this question in a bit of detail?

My solution will essentially be the as this one: https://gmatclub.com/forum/which-triang ... l#p1948343 Can you please tell me what's unclear there? Thanks!

My query arises here:
To find out the Area of Triangle ACE, why are we taking ECxAD

Isn't AD the part of triangle ADE?

Am I missing something here?

The area of a triangle is 1/2 * (altitude) * (base). For triangle ACE, AD is the altitude as it is perpendicular to the base EC (to the line containing EC).
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