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07 Jul 2006, 06:41
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07 Jul 2006, 07:18
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A for me.
The area of a triangle is --- > 1/2 * base * height
base = 2
Hence the area now would be = height
From the figure given it is clear that the oint OE is the centroid of the triangle. Now its known that The Centroid of a triangle divides the median in the ratio if 2:1
Statement 1 -->
OE < 4/3 or
the length of the median is < 4
Now we know that the height of the triangle is smaller than the median and hence we know that the area is also less than 4 which is again less than 5 also. Hence sufficient.
Statement 2 --->
Similar reasoning as above but this time the median will be greater that 3*2 = 6. But we dont know what the height of the triangle would be. We just know that it would be less than 6 but we can't concretely say that it would be less than 5. Hence insufficient.
Correct me if I am wrong.
The area of a triangle is --- > 1/2 * base * height
base = 2
Hence the area now would be = height
From the figure given it is clear that the oint OE is the centroid of the triangle. Now its known that The Centroid of a triangle divides the median in the ratio if 2:1
Statement 1 -->
OE < 4/3 or
the length of the median is < 4
Now we know that the height of the triangle is smaller than the median and hence we know that the area is also less than 4 which is again less than 5 also. Hence sufficient.
Statement 2 --->
Similar reasoning as above but this time the median will be greater that 3*2 = 6. But we dont know what the height of the triangle would be. We just know that it would be less than 6 but we can't concretely say that it would be less than 5. Hence insufficient.
Correct me if I am wrong.
