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Geo - Rt triangle

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by hemant_rajput » Tue May 07, 2013 9:46 am
Q. What is the perimeter of right triangle ABC?
(1) AB = 5
(2) AC = 5* root(2)

OA[spoiler]:E,[/spoiler] but I believe answer is C.


Is it possible to make a rt triangle with the following dimension?

[spoiler]5, 5* root(2), 5* root(3)[/spoiler]
I'm no expert, just trying to work on my skills. If I've made any mistakes please bear with me.
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Source: — Data Sufficiency |

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by Brent@GMATPrepNow » Tue May 07, 2013 10:02 am
hemant_rajput wrote:Q. What is the perimeter of right triangle ABC?
(1) AB = 5
(2) AC = 5* root(2)
We can see that each statement on its own is now sufficient.

Both statements combined:
There are still two possible right triangles (with different perimeters)

There's this one:
Image

And this one:
Image

To show that both of these are possibly right triangles, all we need to do is verify the Pythagorean Theorem (a^2 + b^2 = c^2).

Answer = E


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Brent
Brent Hanneson - Creator of GMATPrepNow.com
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by Blue_Skies » Tue May 07, 2013 11:22 am
The question doesn't specify the triangle is right angled at what angle. The answer will vary based on that . Hence E.
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