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If a triangle in the xy-coordinate system has vertices at

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If a triangle in the xy-coordinate system has vertices at [#permalink] New post 30 Nov 2018, 17:48
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If a triangle in the xy-coordinate system has vertices at (– 2, –3), (4, –3) and (28, 7), what is the area of the triangle?

A. 30

B. 36

C. 48

D. 60

E. 65
[Reveal] Spoiler: OA

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Re: If a triangle in the xy-coordinate system has vertices at [#permalink] New post 03 Dec 2018, 05:14
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Wait this isn't multiple choice with select all that apply..
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Re: If a triangle in the xy-coordinate system has vertices at [#permalink] New post 03 Dec 2018, 12:29
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Moved, thanks Sir.

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Re: If a triangle in the xy-coordinate system has vertices at [#permalink] New post 11 Dec 2018, 10:29
High 10 base 30 ?

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Re: If a triangle in the xy-coordinate system has vertices at [#permalink] New post 07 Jan 2019, 19:53
tagedwedw wrote:
High 10 base 30 ?

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No, Height 10
Base 6

Area = \(\frac{1}{2}*6*10=30\)

Last edited by AE on 08 Jan 2019, 16:56, edited 1 time in total.
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Re: If a triangle in the xy-coordinate system has vertices at [#permalink] New post 07 Jan 2019, 20:26
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Carcass wrote:
If a triangle in the xy-coordinate system has vertices at (– 2, –3), (4, –3) and (28, 7), what is the area of the triangle?

A. 30

B. 36

C. 48

D. 60

E. 65



(-2,-3) and (4,-3) is a straight line parallel to x axis at y=-3. Therefore let's take this as the base..so Base = 4-(-2)=4+2=6..

Now the third vertice is (28,7)..
If we are taking base as parallel to x-axis , the height will be parallel to y-axis.
Therefore height is 7-(-3)=7+3=10

Area will be \(\frac{1}{2}*6*10=30\)

A
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2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
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Re: If a triangle in the xy-coordinate system has vertices at [#permalink] New post 08 Jan 2019, 17:01
chetan2u wrote:


(-2,-3) and (4,-3) is a straight line parallel to y axis at y=-3. Therefore let's take this as the base..so Base = 4-(-2)=4+2=6..


Is it parallel to y axis or x axis? Please make it clear.
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Re: If a triangle in the xy-coordinate system has vertices at [#permalink] New post 08 Jan 2019, 18:50
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AE wrote:
chetan2u wrote:


(-2,-3) and (4,-3) is a straight line parallel to y axis at y=-3. Therefore let's take this as the base..so Base = 4-(-2)=4+2=6..


Is it parallel to y axis or x axis? Please make it clear.


y=-3 will be parallel to z-axis.
Thanks edited
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Some useful Theory.
1. Arithmetic and Geometric progressions : https://greprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://greprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://greprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html

Re: If a triangle in the xy-coordinate system has vertices at   [#permalink] 08 Jan 2019, 18:50
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