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# What is the ratio of the length H1 to the length H2?

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8475
GMAT 1: 760 Q51 V42
GPA: 3.82
What is the ratio of the length H1 to the length H2?  [#permalink]

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17 May 2016, 16:22
00:00

Difficulty:

45% (medium)

Question Stats:

43% (01:49) correct 57% (02:33) wrong based on 11 sessions

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What is the ratio of the length H1 to the length H2?
A. 3:√21
B. 5:√21
C. 3:√19
D. 5:√19
E. 2:√21

*an answer will be posted in 2 days.

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8475
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: What is the ratio of the length H1 to the length H2?  [#permalink]

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21 May 2016, 17:33
According to the Pythagoras theory, 10:6=L:H1 and 10:√(102-42)=L:H2. Then, H1=6L/10 and H2=√84L/10. Hence, H1:H2=6L/10: √84L/10=6: √84
=6:2√21=3:√21. The correct answer is A.
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Re: What is the ratio of the length H1 to the length H2?  [#permalink]

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05 Mar 2017, 01:37
MathRevolution wrote:
What is the ratio of the length H1 to the length H2?
A. 3:√21
B. 5:√21
C. 3:√19
D. 5:√19
E. 2:√21

*an answer will be posted in 2 days.

Hi MathRevolution,

I really appreciate the question but would it be possible for you to provide which segment has what measurement along with the nomenclature ?
Currently, its a little difficult to identify.

Re: What is the ratio of the length H1 to the length H2?   [#permalink] 05 Mar 2017, 01:37
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