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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]  30 Nov 2018, 17:48
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82% (01:12) correct 17% (01:31) wrong based on 17 sessions
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]  03 Dec 2018, 05:14
1
KUDOS
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]  03 Dec 2018, 12:29
Expert's post
Moved, thanks Sir.

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

Posted from my mobile device

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]  07 Jan 2019, 20:26
Expert's post
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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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

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

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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