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15 Dec 2020, 01:15
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E
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Difficulty:
45%
(medium)
Question Stats:
55% (00:56) correct
45%
(00:36)
wrong
based on 97
sessions
History
Date
Time
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Not Attempted Yet
What is the value of z?
(1) The lengths of the sides of a triangle ABC are 3, 4 and z.
(2) ABC is a right angled triangle.
Are You Up For the Challenge: 700 Level Questions
(1) The lengths of the sides of a triangle ABC are 3, 4 and z.
(2) ABC is a right angled triangle.
Are You Up For the Challenge: 700 Level Questions
15 Dec 2020, 02:10
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Stat1: If one side is 4 and another is 3 then, 3rd side in triangle can have multiple size possibilities. So, It is NOT sufficient to get Z value.
Stat2: Knowing triangle is right angle triangle is NOT sufficient to get one side.
Combining 1 and 2: Do we know, which angle is 90 degree and which sides are 3 and 4. So, We can multiple value of Z. It is not sufficient as well.
So, I think. E
Stat2: Knowing triangle is right angle triangle is NOT sufficient to get one side.
Combining 1 and 2: Do we know, which angle is 90 degree and which sides are 3 and 4. So, We can multiple value of Z. It is not sufficient as well.
So, I think. E
15 Dec 2020, 04:00
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Hmm, there had to be a trap and there it is!
(A) - Two side are given ,i.e. 3 and 4. The third side can be anything. 5,6,7,8...(as long as they satisfy the rule of third side>sum of two other sides)
Not sufficient.
(B)- We are not aware about the length of the other sides.
Not sufficient.
Combining, we STILL do not know where the triangle is right angled
That was the trap. We could have very well imagined the beautiful 3,4,5 if the angle was specified.
IMO E.
(A) - Two side are given ,i.e. 3 and 4. The third side can be anything. 5,6,7,8...(as long as they satisfy the rule of third side>sum of two other sides)
Not sufficient.
(B)- We are not aware about the length of the other sides.
Not sufficient.
Combining, we STILL do not know where the triangle is right angled
That was the trap. We could have very well imagined the beautiful 3,4,5 if the angle was specified.
IMO E.
