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08 Jan 2019, 22:44
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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:
15%
(low)
Question Stats:
85% (00:48) correct
15%
(00:43)
wrong
based on 54
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A right angle triangle has the ratio of its sides as 3:4:5 respectively in increasing order. What is the area of this triangle?
(1) Longest side of this triangle is 25 units.
(2) Sum of the two shorter sides of this triangle is 35 units.
(1) Longest side of this triangle is 25 units.
(2) Sum of the two shorter sides of this triangle is 35 units.
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:
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KanishkM
Joined: 09 Mar 2018
Last visit: 18 Dec 2021
Posts: 755
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Given Kudos: 123
Location: India
Schools: DeGroote'21 Desautels '21 NUS '21
08 Jan 2019, 23:32
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amanvermagmat
Let ABC be the right angle triangle with B as the right angled, and since the ratio is in increasing order, ABC will have angles in 30-60-90
Statement 1
Longest side of this triangle is 25
This means, the side opposite to 90 degree is 25(if 25 was not given to us and just the ratios was given, values could have been 9,16,25 or 15,20,35)
Remaining 2 sides will be 9 and 16, as per 3-4-5 triplet
We can calculate the area using the legs of the Triangle.
Statement 2
Since the ratio is in increasing order
The ratio of smallest sides will be x:y = 3:4
x = 3/4 * y
x+y =35
3/4 * y + y = 35
7 y = 35 *4
y = 20
x = 15
We can calculate the area using the legs of the Triangle, 15 and 20.
IMO answer is D
Let me know if you think otherwise.
08 Jan 2019, 23:53
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amanvermagmat
OA is D
1) As the ration is 3c:4c:5c but obvious 5c is hypotenuse and 5c= 25 so c =5, one can find 3c and 4c and so the area.
2) As the ration is 3c:4c:5c but obvious the sum of the shorter sides means 3c+4c, so 7c=35, c =5, one can find the area easily.
. Just when i try to solve it here, i tend to write a lot 
. 
