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02 Aug 2018, 02:59
Kudos
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B
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Difficulty:
25%
(medium)
Question Stats:
66% (00:58) correct
34%
(01:12)
wrong
based on 199
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Triangle ABC has vertices A(3,0) , B(6,0) and C(a,b) in the xy-Plane. What is the area of the triangle ?
(1) a = 4
(2) b = 5
(1) a = 4
(2) b = 5
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
02 Aug 2018, 03:49
Kudos
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Point A and B gives the length of base AB. To find area, we need height.
Since y coordinate of A and B is same, hence it is parallel to X axis.
It means we only need y coordinate of C to find the altitude/height of the triangle ABC. We need b of C(a,b)
1) a = 4. NOT SUFFICIENT.
2) b = 5. Bingo, this is what we were looking for.
SUFFICIENT.
Answer B.
Since y coordinate of A and B is same, hence it is parallel to X axis.
It means we only need y coordinate of C to find the altitude/height of the triangle ABC. We need b of C(a,b)
1) a = 4. NOT SUFFICIENT.
2) b = 5. Bingo, this is what we were looking for.
SUFFICIENT.
Answer B.
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02 Aug 2018, 04:24
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Amankatyal
Area of triangle ABC=\(\frac{1}{2}*(6-3)*height\)
So,we require height of the triangle(vertical distance from horizontal axis) or length of other two sides of the triangle.
St1:- a=4 or x co-ordinate of unknown vertex is 4. No information on y-coordinate or b.
So insufficient.
St2:- b=5 or vertical position of the vertex C is 5.
So co-ordinate of C could be (+/-/0,5). We are not interested in the horizontal position of C since we have got the vertical position or height .So, area can be calculated.And it is evident from the area formula that area is not dependent on the horizontal position of C. So, irrespective of the value of 'a' , area of triangle ABC is same.
Sufficient.
Ans (B)
