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13 Nov 2019, 01:46
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E
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Difficulty:
95%
(hard)
Question Stats:
32% (01:40) correct
68%
(01:43)
wrong
based on 189
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If the base of triangle PQR is 5, what is the perimeter of the triangle?
(1) The area of triangle PQR is 12.5
(2) The length of a side of triangle PQR is \(5 * \sqrt 2\)
Are You Up For the Challenge: 700 Level Questions
(1) The area of triangle PQR is 12.5
(2) The length of a side of triangle PQR is \(5 * \sqrt 2\)
Are You Up For the Challenge: 700 Level Questions
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
13 Nov 2019, 02:10
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If the base of triangle PQR is 5, what is the perimeter of the triangle?
Let Base = PQ,
(1) The area of triangle PQR is 12.5
--> 1/2*base*height = 12.5
--> 1/2*5*height = 12.5
--> Height = 5
--> Nothing can be said about the length of the other 2 sides --> Insufficient
(2) The length of a side of triangle PQR is 5∗√2
--> Nothing can be said about the length of the other 2 sides --> Insufficient
Combining (1) & (2),
base, PQ = 5, height = 5, one side = 5√2
Two possible cases
Case 1: An isosceles right angled triangle with 45-45-90 angles [PQ = 5, Height = PR = 5 & Hypotenuse, QR = 5√2]
Case 2: An obtuse triangle with base, PQ = 5, PR (obtuse angle = 135 deg) = 5√2, and 3rd side, QR = 5√5
--> Insufficient
IMO Option E
Let Base = PQ,
(1) The area of triangle PQR is 12.5
--> 1/2*base*height = 12.5
--> 1/2*5*height = 12.5
--> Height = 5
--> Nothing can be said about the length of the other 2 sides --> Insufficient
(2) The length of a side of triangle PQR is 5∗√2
--> Nothing can be said about the length of the other 2 sides --> Insufficient
Combining (1) & (2),
base, PQ = 5, height = 5, one side = 5√2
Two possible cases
Case 1: An isosceles right angled triangle with 45-45-90 angles [PQ = 5, Height = PR = 5 & Hypotenuse, QR = 5√2]
Case 2: An obtuse triangle with base, PQ = 5, PR (obtuse angle = 135 deg) = 5√2, and 3rd side, QR = 5√5
--> Insufficient
IMO Option E
ShankSouljaBoi
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02 Jan 2020, 08:37
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Why heron's formula is not applicable to this ?
We have area and two sides. Third side can be deduced ?! :O
Kindly guide.
We have area and two sides. Third side can be deduced ?! :O
Kindly guide.
