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What is the area of triangular region ABC above?

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What is the area of triangular region ABC above? [#permalink] New post 03 Dec 2012, 03:54
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What is the area of triangular region ABC above?

(1) The product of BD and AC is 20.
(2) x = 45
[Reveal] Spoiler: OA
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Re: What is the area of triangular region ABC above? [#permalink] New post 03 Dec 2012, 03:56
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What is the area of triangular region ABC above?

The area of triangle ABC = \frac{BD*AC}{2}

(1) The product of BD and AC is 20. The area of triangle ABC = \frac{BD*AC}{2}=\frac{20}{2}=10. Sufficient.
(2) x = 45. No lengths of any line segment is known. Not sufficient.

Answer: A.
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Re: What is the area of triangular region ABC above? [#permalink] New post 03 Dec 2012, 07:19
What is the area of triangular region ABC above?

(1) The product of BD and AC is 20.
(2) x = 45

Case A:
BD is right-angled to AC (Given) in diagram, BD is height and AC is base of the triangle. Area can be calculated by 1/2* base X height. So, Sufficient.
Option C,E are eliminated.

Case B:
x = 45. Angle is not sufficient to find the area. This case is in-sufficient.
B is eliminated.

Answer choice is A.
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Re: What is the area of triangular region ABC above? [#permalink] New post 04 Dec 2012, 19:39
1) area of triangle is half of the (base times altitude). which is 10. sufficient.
2) we are only given info on the the left portion divided by the altitude. the other portion area could be equal to the left portion or could be really elongated or small. can't tell. so not sufficient.

Walkabout wrote:
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What is the area of triangular region ABC above?

(1) The product of BD and AC is 20.
(2) x = 45
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Re: What is the area of triangular region ABC above? [#permalink] New post 30 Jun 2014, 08:58
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Re: What is the area of triangular region ABC above?   [#permalink] 30 Jun 2014, 08:58
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