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# Is Area of the Triangle ABC ≥ 24? 1) Two sides of the triangle are 6

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Is Area of the Triangle ABC ≥ 24? 1) Two sides of the triangle are 6  [#permalink]

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03 Dec 2017, 01:40
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Difficulty:

65% (hard)

Question Stats:

55% (01:23) correct 45% (01:02) wrong based on 57 sessions

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Is Area of the Triangle ABC ≥ 24?

1) Two sides of the triangle are 6 and 8
2) ABC is a Right angle triangle

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Re: Is Area of the Triangle ABC ≥ 24? 1) Two sides of the triangle are 6  [#permalink]

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03 Dec 2017, 02:03
St1:
We don't know if it is a right angle triangle or not

St2: we don't know anything about length of the sides

Combining
Don't know which one is hypotnuse

E

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Re: Is Area of the Triangle ABC ≥ 24? 1) Two sides of the triangle are 6  [#permalink]

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03 Dec 2017, 05:20
GMATinsight wrote:
Is Area of the Triangle ABC ≥ 24?

1) Two sides of the triangle are 6 and 8
2) ABC is a Right angle triangle

1) two sides are 6,8...
Max area will be if it's a right triangle with these two as smaller sides..
The triangle will become 6:8:10..
Area =1/2 *6*8=24...so yes
Otherwise no
Insufficient

2) ABC is a right angle triangle..
Nothing much
Insufficient

Combined..
If 6 and 8 are smaller sidea, area as shown above 24..yes
If 8 is hypotenuse, Ans NO
Insufficient

E
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Re: Is Area of the Triangle ABC ≥ 24? 1) Two sides of the triangle are 6  [#permalink]

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03 Dec 2017, 06:55
Hi, why no C ? By using Pythagorean triplets 8,6 can be 4,3(divided by 2). And we can triplet 3,4,5 from where we can conclude about the area ?

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Re: Is Area of the Triangle ABC ≥ 24? 1) Two sides of the triangle are 6  [#permalink]

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04 Dec 2017, 00:53
Spongebob02 wrote:
Hi, why no C ? By using Pythagorean triplets 8,6 can be 4,3(divided by 2). And we can triplet 3,4,5 from where we can conclude about the area ?

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You're making an assumption that's not supported by neither statement nor the question font. The side with length 8 can just as well be the hypotenuse.
Re: Is Area of the Triangle ABC ≥ 24? 1) Two sides of the triangle are 6 &nbs [#permalink] 04 Dec 2017, 00:53
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# Is Area of the Triangle ABC ≥ 24? 1) Two sides of the triangle are 6

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