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23 Aug 2018, 04:11
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
87% (00:35) correct
13%
(00:41)
wrong
based on 93
sessions
History
Date
Time
Result
Not Attempted Yet
What is the perimeter of triangle ABC?
(1) The shortest side of the triangle is 5.
(2) The ratio of the measure of the angles in triangle ABC is 1:2:3
(1) The shortest side of the triangle is 5.
(2) The ratio of the measure of the angles in triangle ABC is 1:2:3
Bunuel
Question stem:- What is the perimeter of triangle ABC?
measure of three sides is required in order to determine perimeter of a triangle.
St1:- The shortest side of the triangle is 5.
Other two sides may take numerous measures.
So, perimeter of the triangle is not unique.
Insufficient.
St2:- The ratio of the measure of the angles in triangle ABC is 1:2:3
Or, ABC is a right angled triangle. (It could be 30-60-90)
But we require length of sides.
Insufficient.
Combining, We have sides in the ratio \(x:2:\sqrt{3}x\), where 'x' is the length of shortest side.
So sides of the triangle are: 5,10, and \(5\sqrt{3}\)
So, perimeter can be determined.
Sufficient.
Ans.(C)
Edit:- 30-60-90
24 Aug 2018, 04:13
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Bunuel
Statement 1: Shortest side is 5 but we don't don't other 2 sides. NOT sufficient.
Statement 2 : Ratio is given, not the exact value. NOT Sufficient.
Combining both Statements :
1x = 5
x = 5
2x = 10
3x = 15.
The perimeter = 5 + 10 + 15 = 30.
The best answer is C.
