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17 Nov 2018, 10:00
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
42% (02:43) correct
58%
(03:06)
wrong
based on 45
sessions
History
Date
Time
Result
Not Attempted Yet
Right triangle ABC has leg lengths AB=20 and BC=21. Including AB and BC, how many line segments with integer length can be drawn from vertex B to a point on hypotenuse AC?
A) 5
B) 8
C) 12
D) 13
E) 15
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Q1.jpg [ 7.58 KiB | Viewed 4655 times ]
19 Nov 2018, 06:50
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General Discussion
17 Nov 2018, 10:05
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Hypotenuse = sqrt (20*20 + 21*21) = sqrt(841) = 29
0.5*20*21 = 0.5*29*BP
BP = 14.48 approx
So, integer values between 14.48 and 20 inclusive = 15,16,...20 = 6 integers
Between 14.8 and 21 inclusive = 15,16,....21 = 7 integers
Total = 13
Option D
0.5*20*21 = 0.5*29*BP
BP = 14.48 approx
So, integer values between 14.48 and 20 inclusive = 15,16,...20 = 6 integers
Between 14.8 and 21 inclusive = 15,16,....21 = 7 integers
Total = 13
Option D
