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# What is the area of ABC? (1) ABC is isosceles. (2) AB= 10

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Manager
Joined: 30 May 2009
Posts: 216
What is the area of ABC? (1) ABC is isosceles. (2) AB= 10 [#permalink]

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06 Aug 2009, 20:46
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What is the area of Δ ABC?
(1) Δ ABC is isosceles.
(2) AB= 10 and BC = 12

Can somebody explain how the OA is
[Reveal] Spoiler:
C
Senior Manager
Joined: 17 Jul 2009
Posts: 286
Concentration: Nonprofit, Strategy
GPA: 3.42
WE: Engineering (Computer Hardware)

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06 Aug 2009, 21:03
cant be C unless via naming an isosceles triangle, the angle that faces the side that is not equal usually is in front? (vividly remember something like that from high school days...could be wrong), so isosceles triangle ABC, then AB = AC...etc i can only guess that would be the explanation and i can see why you would go for E...
Senior Manager
Joined: 17 Jul 2009
Posts: 286
Concentration: Nonprofit, Strategy
GPA: 3.42
WE: Engineering (Computer Hardware)

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06 Aug 2009, 21:08
sprtng wrote:
cant be C unless via naming an isosceles triangle, the angle that faces the side that is not equal usually is in front? (vividly remember something like that from high school days...could be wrong), so isosceles triangle ABC, then AB = AC...etc i can only guess that would be the explanation and i can see why you would go for E...

i can't find anything regarding that online, in fact i found couple of examples where triangle ABC where BC = BA....odd...i would have picked E too for this anyhow
Senior Manager
Joined: 20 Mar 2008
Posts: 452

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06 Aug 2009, 21:13
1
KUDOS
I think the naming convention goes only for an angle, not the triangle, not even an Isc. Δ.

For example, ∠ABC can be used to denote the ∠B between side AB & BC. But I do not remember any such rule about a Δ
Intern
Joined: 11 Jul 2009
Posts: 36

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07 Aug 2009, 06:22
I think its C because you know 2 sides, and one of them has to be equal to the other. It can't be 12, 12, and 10 because the hyp has to be the biggest. So it must be 10,10 and 12. then you can figure out the area. Others can correct me if I'm wrong...
SVP
Joined: 05 Jul 2006
Posts: 1747

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07 Aug 2009, 08:15
sk88 wrote:
I think its C because you know 2 sides, and one of them has to be equal to the other. It can't be 12, 12, and 10 because the hyp has to be the biggest. So it must be 10,10 and 12. then you can figure out the area. Others can correct me if I'm wrong...

Nothing is mentioned about a right angle , so we dont know if there is a hyp

we can only apply

12-10<3rd side<12+10

both 10,12 satisfy the relation
Manager
Joined: 30 May 2009
Posts: 216

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07 Aug 2009, 08:18
I agree. Without knowing which side is the other equal side, I am not sure how we can find out the area of the traingle...

It can be a 10,10,12 triangle or a 12,12,10 triangle.

Thats why I chose E. But the OA is given as C. Anyways this is a note so trust worthy source....so lets all assume that we haven't missed anything and we will take the answer to be E.

Thanks all!
Intern
Joined: 11 Jul 2009
Posts: 36

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07 Aug 2009, 08:25
yezz wrote:
sk88 wrote:
I think its C because you know 2 sides, and one of them has to be equal to the other. It can't be 12, 12, and 10 because the hyp has to be the biggest. So it must be 10,10 and 12. then you can figure out the area. Others can correct me if I'm wrong...

Nothing is mentioned about a right angle , so we dont know if there is a hyp

we can only apply

12-10<3rd side<12+10

both 10,12 satisfy the relation

Oh yeah, you're right - I was incorrectly assuming it was a right triangle. Thanks for the correction. I guess it really is E then.

What is the source of the question?
Re: Isosceles Triangle   [#permalink] 07 Aug 2009, 08:25
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