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In triangle ABC, CA = 4, and CB = 6. Which of the following could be a

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Jorgecs25
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In triangle ABC, CA = 4, and CB = 6. Which of the following could be a [#permalink] New post   Updated on: 20 Apr 2021, 02:01
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In triangle ABC, CA = 4, and CB = 6. Which of the following could be the area of triangle ABC ?

(A) 7
(B) 8
(C) 9
(D) 12
(E) 15
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A,B,C,D

Originally posted by Jorgecs25 on 19 Apr 2021, 12:03.
Last edited by rx10 on 20 Apr 2021, 02:01, edited 6 times in total.
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Re: In triangle ABC, CA = 4, and CB = 6. Which of the following could be a [#permalink] New post   19 Apr 2021, 13:20
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Hi

Could you please provide the OA?
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nurakib
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Re: In triangle ABC, CA = 4, and CB = 6. Which of the following could be a [#permalink] New post   19 Apr 2021, 13:39
is the answer D? It says 'could be' area, so consider the givens sides of triangle as base and height, area = 0.5 * 6 * 4 = 12
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Re: In triangle ABC, CA = 4, and CB = 6. Which of the following could be a [#permalink] New post   19 Apr 2021, 13:53
This is a question that appears in the GRE Math Tests book - Kolby, Jeff
NOVA`S.

I attach the official response, which is not clear to me. For me it should be any value between 0 and 12 (maximum possible area)

OA: We are given that in triangle ABC, CA = 4 and CB = 6. The area of the triangle is greatest when the sides
form a right angle, and least when the sides align in a line. When the sides form a right-angle, the area is
1/2  base  height = 1/2  4  6 = 12; and when they are aligned in a line, the area is 0 because the height
is zero. Hence, the permissible range is 0 through 12. Select choices in this range. The answer is (D) and
(E).
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Re: In triangle ABC, CA = 4, and CB = 6. Which of the following could be a [#permalink] New post   20 Apr 2021, 02:25
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Hi,

Fixed the question.

I saw the question in NOVA's as well. It may possible that it's a typo.
However, I would suggest you to practice from official sources only.

In this forum you'll find plenty of official questions.

Regards,
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Jorgecs25 wrote:
This is a question that appears in the GRE Math Tests book - Kolby, Jeff
NOVA`S.

I attach the official response, which is not clear to me. For me it should be any value between 0 and 12 (maximum possible area)

OA: We are given that in triangle ABC, CA = 4 and CB = 6. The area of the triangle is greatest when the sides
form a right angle, and least when the sides align in a line. When the sides form a right-angle, the area is
1/2  base  height = 1/2  4  6 = 12; and when they are aligned in a line, the area is 0 because the height
is zero. Hence, the permissible range is 0 through 12. Select choices in this range. The answer is (D) and
(E).
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Re: In triangle ABC, CA = 4, and CB = 6. Which of the following could be a [#permalink] New post   22 Sep 2023, 10:33
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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