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The sides of right triangle ABC are such that the length of

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The sides of right triangle ABC are such that the length of [#permalink] New post 12 Mar 2013, 04:13
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The sides of right triangle ABC are such that the length of side AB is greater than the length of side BC, which itself is greater than the length of side AC. If side AB = 143 and side AC = 55, what is the area of the triangle?

A. 3113
B. 3224
C. 3432
D. 3630
E. 7260
[Reveal] Spoiler: OA

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Last edited by Bunuel on 12 Mar 2013, 04:21, edited 1 time in total.
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Re: The sides of right triangle ABC are such that the length of [#permalink] New post 12 Mar 2013, 04:29
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emmak wrote:
The sides of right triangle ABC are such that the length of side AB is greater than the length of side BC, which itself is greater than the length of side AC. If side AB = 143 and side AC = 55, what is the area of the triangle?

A. 3113
B. 3224
C. 3432
D. 3630
E. 7260


Given that AB>BC>AC. So, AB is the hypotenuse of the triangle.

\(BC=\sqrt{143^2-55^2}=\sqrt{(11*13)^2-(11*5)^2}=11\sqrt{13^2-5^2}=11*12\).

The area = 1/2*BC*AC = 1/2*(11*12)*55 = 66*55 = 3630.

Answer D.
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Re: The sides of right triangle ABC are such that the length of [#permalink] New post 21 Oct 2014, 14:51
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Re: The sides of right triangle ABC are such that the length of [#permalink] New post 22 Nov 2015, 13:18
Hello from the GMAT Club BumpBot!

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Re: The sides of right triangle ABC are such that the length of [#permalink] New post 22 Nov 2015, 17:20
emmak wrote:
The sides of right triangle ABC are such that the length of side AB is greater than the length of side BC, which itself is greater than the length of side AC. If side AB = 143 and side AC = 55, what is the area of the triangle?

A. 3113
B. 3224
C. 3432
D. 3630
E. 7260


Bunuel's solution is exactly how I would have answered this question.
However, if I had no idea how to answer the question (or if I had only 10 seconds remaining), I still would have guessed D.

Here's why:
Notice that E (7260) is twice as big as D (3630).
Since area of a triangle = ONE-HALF times base times height, answer choice E is a good distractor for people who forget to HALVE the product of the base and height.
So, I'd GUESS D.

Cheers,
Brent
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Re: The sides of right triangle ABC are such that the length of   [#permalink] 22 Nov 2015, 17:20
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