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# In the rectangular coordinate system above, if the base of the triangl

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Math Expert
Joined: 02 Sep 2009
Posts: 58453
In the rectangular coordinate system above, if the base of the triangl  [#permalink]

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15 Oct 2019, 23:29
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Difficulty:

45% (medium)

Question Stats:

50% (01:40) correct 50% (02:03) wrong based on 10 sessions

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In the rectangular coordinate system above, if the base of the triangle is parallel to the x-axis what is the area of the triangle?

(1) b – f = 0 and a – e = –4
(2) f – d = –3 and c – e = –2

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Re: In the rectangular coordinate system above, if the base of the triangl  [#permalink]

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16 Oct 2019, 22:54
Bunuel wrote:

In the rectangular coordinate system above, if the base of the triangle is parallel to the x-axis what is the area of the triangle?

(1) b – f = 0 and a – e = –4
(2) f – d = –3 and c – e = –2

Attachment:
image010.gif

(1) b – f = 0 and a – e = –4

b-f=0 does not give us any new information because we know that already from the fact that the line is parallel to X axis

a-e=-4 tells us that the base length is 4 units

We don't know about the height

1 is insufficient

(2) f – d = –3 and c – e = –2

f-d=-3 gives the height of the triangle to be 3 units

c-e=-2 gives us no useful information because we don't know if c lies exactly between a and e

2 is insufficient

(1)+(2)

We have the base length and height and so the area can be calculated

(1)+(2) is sufficient

Re: In the rectangular coordinate system above, if the base of the triangl   [#permalink] 16 Oct 2019, 22:54
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