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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
If the area of the above triangle is 54, then c =
[#permalink]
01 Jan 2020, 23:58
01 Jan 2020, 23:58
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If the area of the above triangle is 54, then c =
(A) 3
(B) 6
(C) 10
(D) 12
(E) 15
Moderator
Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1141
Given Kudos: 9
Location: India
Concentration: General Management
Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
GPA: 2.8
WE:Engineering (Computer Software)
Re: If the area of the above triangle is 54, then c =
[#permalink]
02 Jan 2020, 07:57
02 Jan 2020, 07:57
1
We should start by plotting the points on the x-y plane and get the co-ordinates of the three vertices of the triangle (PFA the image with the coordinates)
The height of the triangle is 3c and the base is 4c
Using the formula for Area of a triangle = (1/2) * Base * Height = (1/2) * 4c * 3c = 6c^2
Given that area = 54
=> 6c^2 = 54
=> c^2 = 54/6 = 9
=> c=3 (As c cannot be negative as it contributes to length of the triangle)
So, Answer will be A
Hope it helps!
The height of the triangle is 3c and the base is 4c
Using the formula for Area of a triangle = (1/2) * Base * Height = (1/2) * 4c * 3c = 6c^2
Given that area = 54
=> 6c^2 = 54
=> c^2 = 54/6 = 9
=> c=3 (As c cannot be negative as it contributes to length of the triangle)
So, Answer will be A
Hope it helps!
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GC-2.jpg [ 158.89 KiB | Viewed 1574 times ]
gmatclubot
Re: If the area of the above triangle is 54, then c = [#permalink]
02 Jan 2020, 07:57
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