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The area of triangle ABC
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13 Aug 2020, 01:28
13 Aug 2020, 01:28
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Question Stats:
79% (00:50) correct
20% (01:07) wrong based on 87 sessions
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Attachment:
GRE The area of triangle ABC.png [ 3.26 KiB | Viewed 2583 times ]
Quantity A |
Quantity B |
The area of triangle ABC |
8 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
KUDOS for the right solution and explanation
Re: The area of triangle ABC
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15 Aug 2020, 21:27
15 Aug 2020, 21:27
2
First we label any angles or sides not already labeled. Two interior angles are given; the third must be 43 (assume degrees).
If we had a scientific calculator, we could use trig to find all the sides. But we don't, and we don't even need it to determine how the area will compare with 8.
The wider the angle, the larger the side opposite that angle, and vice versa. Because the side opposite 47 is 4, the side opposite 43 degrees is less than 4. We can just label it <4.
Now let's calculate the area, using the formula A = 1/2 * b * h.
H is 4. Therefore,
1/2 * b * 4 = 2 * <4. This is not perfect mathematical notation, but it reminds us that b is a number less than 4.
2 * 4 would be 8, so 2 * <4 would be less than 8. Therefore, the answer is B.
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
KUDOS for the right solution and explanation
If we had a scientific calculator, we could use trig to find all the sides. But we don't, and we don't even need it to determine how the area will compare with 8.
The wider the angle, the larger the side opposite that angle, and vice versa. Because the side opposite 47 is 4, the side opposite 43 degrees is less than 4. We can just label it <4.
Now let's calculate the area, using the formula A = 1/2 * b * h.
H is 4. Therefore,
1/2 * b * 4 = 2 * <4. This is not perfect mathematical notation, but it reminds us that b is a number less than 4.
2 * 4 would be 8, so 2 * <4 would be less than 8. Therefore, the answer is B.
Carcass wrote:
Attachment:
GRE The area of triangle ABC.png
Quantity A |
Quantity B |
The area of triangle ABC |
8 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
KUDOS for the right solution and explanation
Re: The area of triangle ABC
[#permalink]
24 Apr 2024, 03:50
24 Apr 2024, 03:50
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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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).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
