Is area of the triangle \(ABC\) greater than \(24?\)
1) Two of the Sides of the triangle are \(6\) and \(8\)
2) ABC is a Right Triangle
OA A
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Is area of the triangle \(ABC\) greater than \(24?\)
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gmatter2012
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Here is the answer , the OA is E . Kindly correct the OA
https://gmatclub.com/forum/is-the-area- ... 51083.html
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beatthegmat
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Hello,
With the information in the first statement, the maximum possible area would be when the side of 6 and the side of 8 form a right triangle with legs of 6 and 8. This would make a maximum area of 24 - in all other situations, the area is less than 24. The question asks if the area is greater than 24, so the answer to the question would always be NO. This makes the first statement sufficient to answer the question, which is why the correct answer is A.
With the information in the first statement, the maximum possible area would be when the side of 6 and the side of 8 form a right triangle with legs of 6 and 8. This would make a maximum area of 24 - in all other situations, the area is less than 24. The question asks if the area is greater than 24, so the answer to the question would always be NO. This makes the first statement sufficient to answer the question, which is why the correct answer is A.
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