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30 Apr 2021, 01:48
Kudos
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
88% (00:54) correct
13%
(00:44)
wrong
based on 24
sessions
History
Date
Time
Result
Not Attempted Yet
The longest side of a 30-60-90 triangle measures 10. What is the length of the big leg?
A. 3
B. 4
C. 5
D. 6
E. 5\(\sqrt{3}\)
A. 3
B. 4
C. 5
D. 6
E. 5\(\sqrt{3}\)
30 Apr 2021, 02:03
Kudos
Bookmarks
Solution:
Lets focus on the basic 30-60-90 triangle ratios
Side opposite the 30° angle= x
Side opposite the 60° angle= √3*x
Side opposite the 90° angle = 2x
The side opposite the 30° angle is always the smallest, because 30 degrees is the smallest angle.
The side opposite the 60° angle will be the mid-length, because 60 degrees is b/w 30 and 90 degrees
And, the side opposite the 90° angle will be the longest side (the hypotenuse) because 90 degrees is the largest angle.
Given 2x =10
=> x=5
Longer leg = √3*x
= √3*5 =5√3 (option e)
Devmitra Sen
GMAT SME
Lets focus on the basic 30-60-90 triangle ratios
Side opposite the 30° angle= x
Side opposite the 60° angle= √3*x
Side opposite the 90° angle = 2x
The side opposite the 30° angle is always the smallest, because 30 degrees is the smallest angle.
The side opposite the 60° angle will be the mid-length, because 60 degrees is b/w 30 and 90 degrees
And, the side opposite the 90° angle will be the longest side (the hypotenuse) because 90 degrees is the largest angle.
Given 2x =10
=> x=5
Longer leg = √3*x
= √3*5 =5√3 (option e)
Devmitra Sen
GMAT SME
