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# In the overlapping triangles ABC and ABE sharing common side AB, angle

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Math Expert
Joined: 02 Sep 2009
Posts: 59728
In the overlapping triangles ABC and ABE sharing common side AB, angle  [#permalink]

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21 Mar 2019, 04:36
00:00

Difficulty:

25% (medium)

Question Stats:

77% (02:07) correct 23% (03:18) wrong based on 22 sessions

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In the overlapping triangles ABC and ABE sharing common side AB, angle EAB and angle ABC are right angles, AB = 4, BC = 6, AE = 8, and AC and BE intersect at D. What is the difference between the areas of triangle ADE and triangle BDC ?

(A) 2
(B) 4
(C) 5
(D) 8
(E) 9

Attachment:

37d48968371e6d998d5b4c40c47c99005f414ab9.png [ 7.68 KiB | Viewed 324 times ]

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In the overlapping triangles ABC and ABE sharing common side AB, angle  [#permalink]

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21 Mar 2019, 09:15
4
Bunuel wrote:

In the overlapping triangles ABC and ABE sharing common side AB, angle EAB and angle ABC are right angles, AB = 4, BC = 6, AE = 8, and AC and BE intersect at D. What is the difference between the areas of triangle ADE and triangle BDC ?

(A) 2
(B) 4
(C) 5
(D) 8
(E) 9

Attachment:
37d48968371e6d998d5b4c40c47c99005f414ab9.png

subtract
1/2* 8*4 - 1/2 * 4* 6
16-12
4
IMO B
In the overlapping triangles ABC and ABE sharing common side AB, angle   [#permalink] 21 Mar 2019, 09:15
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