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If vertices of a triangle are A (10, 0), B (x, y) and C (30, 0)....

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If vertices of a triangle are A (10, 0), B (x, y) and C (30, 0)....  [#permalink]

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New post 03 Jul 2018, 04:48
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  45% (medium)

Question Stats:

57% (00:52) correct 43% (00:47) wrong based on 14 sessions

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If vertices of a triangle are A (10, 0), B (x, y) and C (30, 0), what is the area of the triangle?

(1) |x| = y = 20

(2) x = |y| = 20

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If vertices of a triangle are A (10, 0), B (x, y) and C (30, 0)....  [#permalink]

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New post 03 Jul 2018, 05:10
CAMANISHPARMAR wrote:
If vertices of a triangle are A (10, 0), B (x, y) and C (30, 0), what is the area of the triangle?

(1) |x| = y = 20

(2) x = |y| = 20


D..


look at the sketch figure...
AC = 30-10=20..
area = \(\frac{1}{2}*20*altitude=10*altitude\)
altitude depends on B(x,y) and just y component of B

(1) |x| = y = 20
so y= 20
area = 10*20=200
suff

(2) x = |y| =20
irrespective of y in any quadrant be it -20 or 20, the altitude will be 20 as area or altitude cannot be NEGATIVE
area = 10*20=200
suff

D
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Re: If vertices of a triangle are A (10, 0), B (x, y) and C (30, 0)....  [#permalink]

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New post 03 Jul 2018, 07:20
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Re: If vertices of a triangle are A (10, 0), B (x, y) and C (30, 0).... &nbs [#permalink] 03 Jul 2018, 07:20
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