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24 Jun 2014, 07:59
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D
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Difficulty:
35%
(medium)
Question Stats:
61% (01:08) correct
39%
(01:06)
wrong
based on 371
sessions
History
Date
Time
Result
Not Attempted Yet
Is ABC a right triangle?
(1) The angles of ABC are in the ratio 1 : 2 : 3.
(2) One of the angles of ABC equals the sum of the other two angles.
(1) The angles of ABC are in the ratio 1 : 2 : 3.
(2) One of the angles of ABC equals the sum of the other two angles.
24 Jun 2014, 08:09
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Is ABC a right triangle?
(1) The angles of ABC are in the ratio 1 : 2 : 3. Since the sum of the angles in a triangle is 180°, then from this statement we have that x + 2x + 3x = 180. We can find all the angles, thus answer whether the triangle is right angled. Sufficient.
(2) One of the angles of ABC equals the sum of the other two angles. Say that angle is y°, then y + y = 180° --> y = 90°. Sufficient.
Answer: D.
(1) The angles of ABC are in the ratio 1 : 2 : 3. Since the sum of the angles in a triangle is 180°, then from this statement we have that x + 2x + 3x = 180. We can find all the angles, thus answer whether the triangle is right angled. Sufficient.
(2) One of the angles of ABC equals the sum of the other two angles. Say that angle is y°, then y + y = 180° --> y = 90°. Sufficient.
Answer: D.
13 Dec 2016, 22:49
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St1. 1+2+3=6, so we get 30:60:90. Suff
St2. x+y+(x+y)=180 => 2(x+y)=180=>x+y=90. Suff
D
St2. x+y+(x+y)=180 => 2(x+y)=180=>x+y=90. Suff
D
