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655-705 (Hard)|   Geometry|      
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Bunuel
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In rectangle ABCD, we have AB = 8, BC = 9, H is on BC with BH =6, E is 19 Mar 2019, 21:43
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Difficulty:

65% (hard)

Question Stats:

41% (02:53) correct 59% (04:09) wrong based on 17 sessions

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In rectangle ABCD, we have AB = 8, BC = 9, H is on BC with BH =6, E is on AD with DE = 4, line EC intersects line AH at G, and F is on line AD with \(GF \perp AF\). Find the length of GF.


(A) 16
(B) 20
(C) 24
(D) 28
(E) 30


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B
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Schools: IIM (A) ISB '24
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In rectangle ABCD, we have AB = 8, BC = 9, H is on BC with BH =6, E is 19 Mar 2019, 23:02
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Bunuel

In rectangle ABCD, we have AB = 8, BC = 9, H is on BC with BH =6, E is on AD with DE = 4, line EC intersects line AH at G, and F is on line AD with \(GF \perp AF\). Find the length of GF.


(A) 16
(B) 20
(C) 24
(D) 28
(E) 30


Show Spoiler
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The attachment dfe7f6dc99ad90df613e7fa1475792bedc4a9b8b.png is no longer available
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Step-by-step Video solution is attached.


Answer: Option B
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