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655-705 (Hard)|   Geometry|      
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Bunuel
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In the figure above, AD = DC, and BE = EC. The ratio of area of ∆ ABE 08 Aug 2017, 10:32
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55% (01:56) correct 45% (02:25) wrong based on 92 sessions

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In the figure above, AD = DC, and BE = EC. The ratio of area of ∆ ABE / area of ∆ BDC is

(A) greater than 0 and less than 1/2
(B) equal to 1/2
(C) greater than 1/2 and less than 1
(D) equal to 1
(E) greater than 1

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2017-08-08_2131.png
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D
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Siva2021
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In the figure above, AD = DC, and BE = EC. The ratio of area of ∆ ABE 23 Aug 2017, 04:06
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The median bisects the triangle into two triangles of equal areas.The areas of all the four triangles are equal.So the ratio is equal to 1.(Option D). Please give me kudos . I need them badly to increase my score.
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Luckisnoexcuse
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In the figure above, AD = DC, and BE = EC. The ratio of area of ∆ ABE 23 Aug 2017, 04:01
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Bunuel

In the figure above, AD = DC, and BE = EC. The ratio of area of ∆ ABE / area of ∆ BDC is

(A) greater than 0 and less than 1/2
(B) equal to 1/2
(C) greater than 1/2 and less than 1
(D) equal to 1
(E) greater than 1

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Attachment:
2017-08-08_2131.png
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lets take area of ∆ ABC = 2 * ∆ ABE (BE=EC)

now if we compare ∆ ABC and ∆ BDC
DC = 1/2 * AC
BC = BC
hence area of ∆ ABC = 2* ∆ BDC

hence area of ∆ ABE = area of ∆ BDC
D
Please correct me if i am wrong
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GMAT Focus 1: 735 Q90 V89 DI81
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In the figure above, AD = DC, and BE = EC. The ratio of area of ∆ ABE 23 Aug 2017, 04:09
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Bunuel

In the figure above, AD = DC, and BE = EC. The ratio of area of ∆ ABE / area of ∆ BDC is

(A) greater than 0 and less than 1/2
(B) equal to 1/2
(C) greater than 1/2 and less than 1
(D) equal to 1
(E) greater than 1

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Attachment:
2017-08-08_2131.png
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Hi..
I. AD=DC
so area of ADB = area of DCB= \(\frac{1}{2}\) area of ABC
BASE is equal and height is same
II. BE=EC
so area of AEB = area of AEC= \(\frac{1}{2}\) area of ABC
BASE is equal and height is same..

from I and II area of AEB = Area of BDC
so ratio=area of AEB / Area of BDC = 1

D
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In the figure above, AD = DC, and BE = EC. The ratio of area of ∆ ABE 14 Mar 2023, 14:28
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how do I know that the heights are equal?
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