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07 Jun 2018, 05:24
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C
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Difficulty:
75%
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Question Stats:
38% (01:38) correct
62%
(01:11)
wrong
based on 93
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Is triangle ABC isosceles?
(1) Angle ABC is greater than 90 degrees.
(2) Median BD which joins AC at D, is NOT perpendicular to AC.
(1) Angle ABC is greater than 90 degrees.
(2) Median BD which joins AC at D, is NOT perpendicular to AC.
07 Jun 2018, 06:09
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According to statement 1, taking angle ABC greater than 90 or less than 90, both can give the probability of getting isosceles triangle as well as scalene. Hence, insufficient.
Statement 2 says, if the median is not perpendicular to AC, it is clear that the triangle is not isosceles. It is because a median of an isosceles triangle is always perpendicular to the opposite side.
Hence, sufficient.
Hence, option B.
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Statement 2 says, if the median is not perpendicular to AC, it is clear that the triangle is not isosceles. It is because a median of an isosceles triangle is always perpendicular to the opposite side.
Hence, sufficient.
Hence, option B.
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07 Jun 2018, 07:47
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SonalSinha803
According to statement 1, taking angle ABC greater than 90 or less than 90, both can give the probability of getting isosceles triangle as well as scalene. Hence, insufficient.
Statement 2 says, if the median is not perpendicular to AC, it is clear that the triangle is not isosceles. It is because a median of an isosceles triangle is always perpendicular to the opposite side.
Hence, sufficient.
Hence, option B.
Statement 2 says, if the median is not perpendicular to AC, it is clear that the triangle is not isosceles. It is because a median of an isosceles triangle is always perpendicular to the opposite side.
Hence, sufficient.
Hence, option B.
Here is a good example how the triangle is Statement 2 can be isosceles. See attachment.
Answer (C)
Attachments
1.png [ 10.72 KiB | Viewed 2729 times ]
