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

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Max@Math Revolution: Elite Legendary Member; Posts: 3991; Joined: Fri Jul 24, 2015 2:28 am; Location: Las Vegas, USA; Thanked: 19 times; Followed by:37 members

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

by Max@Math Revolution » Tue May 17, 2016 3:23 pm

What is the ratio of the length H1 to the length H2?
A. 3:âˆš21
B. 5:âˆš21
C. 3:âˆš19
D. 5:âˆš19
E. 2:âˆš21

*an answer will be posted in 2 days.

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Max@Math Revolution: Elite Legendary Member; Posts: 3991; Joined: Fri Jul 24, 2015 2:28 am; Location: Las Vegas, USA; Thanked: 19 times; Followed by:37 members

by Max@Math Revolution » Sat May 21, 2016 4:33 pm

According to the Pythagoras theory, 10:6=L:H1 and 10:âˆš(102-42)=L:H2. Then, H1=6L/10 and H2=âˆš84L/10. Hence, H1:H2=6L/10: âˆš84L/10=6: âˆš84
=6:2âˆš21=3:âˆš21. The correct answer is A.

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