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# In the rectangular coordinate system above, if the area of right trian

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Math Expert
Joined: 02 Sep 2009
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In the rectangular coordinate system above, if the area of right trian  [#permalink]

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31 Oct 2018, 01:30
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Difficulty:

5% (low)

Question Stats:

86% (01:21) correct 14% (01:55) wrong based on 48 sessions

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In the rectangular coordinate system above, if the area of right triangle DEF is 15, then which of the following are the coordinates of point D ?

A. (−4, −1)
B. (−2, −1)
C. (−2, 4)
D. (1, −1)
E. It cannot be determined from the information given.

Attachment:

pad04.png [ 9.05 KiB | Viewed 568 times ]

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Re: In the rectangular coordinate system above, if the area of right trian  [#permalink]

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31 Oct 2018, 07:58
height: subtract y coordinates = 4- (-1) = 5

0.5* base* height = 15, which gives 0.5*base*5 = 15

hence base = 6

y coordinate of D remains the same.
x coordinate is 4-6 = -2

Hence D is (-2,-1)

Hence Option B
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Re: In the rectangular coordinate system above, if the area of right trian   [#permalink] 31 Oct 2018, 07:58
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# In the rectangular coordinate system above, if the area of right trian

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