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In the coordinate plane, a triangle ABC has 3 points A(1,0), B(2,0), a

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In the coordinate plane, a triangle ABC has 3 points A(1,0), B(2,0), a [#permalink]

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[GMAT math practice question]

In the coordinate plane, a triangle ABC has 3 points A(1,0), B(2,0), and C(m,n). What is the area of the triangle ABC?

1) m=1
2) n=2
[Reveal] Spoiler: OA

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Re: In the coordinate plane, a triangle ABC has 3 points A(1,0), B(2,0), a [#permalink]

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Ans:B
Point A and B are on X axis
n=2 means C lies on line parallel to X-axis at a distance of 2 which is height of the triangle ABC. We know base and height so area of traingle can be calculated

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Re: In the coordinate plane, a triangle ABC has 3 points A(1,0), B(2,0), a [#permalink]

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New post 13 Sep 2017, 23:49
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The area of the triangle is (1/2)*1*|n|. Then the condition 2) is sufficient.

Ans: B
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Re: In the coordinate plane, a triangle ABC has 3 points A(1,0), B(2,0), a [#permalink]

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New post 26 Oct 2017, 02:55
Why are we taking it as Right angled triangle? It could be acute or obtuse also?

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Re: In the coordinate plane, a triangle ABC has 3 points A(1,0), B(2,0), a [#permalink]

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New post 05 Nov 2017, 01:59
Utkarsh KOhli wrote:
Why are we taking it as Right angled triangle? It could be acute or obtuse also?


I was thinking that too

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Re: In the coordinate plane, a triangle ABC has 3 points A(1,0), B(2,0), a [#permalink]

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New post 05 Nov 2017, 03:10
kannu44 wrote:
Utkarsh KOhli wrote:
Why are we taking it as Right angled triangle? It could be acute or obtuse also?


I was thinking that too



I got it now.
Even if it is acute angled or obtuse angled, it's height can still be drawn which can extend outside the triangle. Thus only y coordinate is required.

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Re: In the coordinate plane, a triangle ABC has 3 points A(1,0), B(2,0), a   [#permalink] 05 Nov 2017, 03:10
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