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17 Oct 2019, 01:50
Kudos
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C
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:
89% (00:47) correct
11%
(00:47)
wrong
based on 44
sessions
History
Date
Time
Result
Not Attempted Yet
What is the area of △ABC?
(1) The measures of three angles of △ABC are in ratio 1:2:3.
(2) The triangle's longest side is 10.
(1) The measures of three angles of △ABC are in ratio 1:2:3.
(2) The triangle's longest side is 10.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
17 Oct 2019, 06:59
Kudos
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Bunuel
(1) The measures of three angles of △ABC are in ratio 1:2:3.
So angles are x, 2x, and 3x. => \(x+2x+3x=180...x=30\).
Angles are 30, 60 and 90 and sides are in the ratio \(1:\sqrt{3}:2\). So, we require at least one side
(2) The triangle's longest side is 10
Nothing about other sides..
Combined
sides are in ratio \(1:\sqrt{3}:2\), so \(5*1:5*\sqrt{3}:5*2\)
The base and altitude are 5 and 5\(\sqrt{3}\)...Area = \(\frac{1}{2}*5*5\sqrt{3}\)
C
17 Oct 2019, 10:27
Kudos
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Bunuel
Asked: What is the area of △ABC?
(1) The measures of three angles of △ABC are in ratio 1:2:3.
Angles = {30,60,90}
No side length is provided
NOT SUFFICIENT
(2) The triangle's longest side is 10.
Infinite number of such triangles are possible
NOT SUFFICIENT
(1) + (2)
(1) The measures of three angles of △ABC are in ratio 1:2:3.
Angles = {30,60,90}
(2) The triangle's longest side is 10.
Hypotenuse = 10 in right angled triangle
Sides = \({10,5,5\sqrt{3}}\)
Area = \(1/2*5*5\sqrt{3} = \frac{25}{2}\sqrt{3}\)
SUFFICIENT
IMO C
