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ABC is a right angle

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Topic: ABC is a right angle
PostThu Jul 29, 2010 6:11 am

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In triangle ABC all the sides have integer lengths. What is the length of side AC?

1. AB = 3 and BC = 4.
2. One of the angles of ABC is a right angle.

Source: majortests.com

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PostThu Jul 29, 2010 6:32 am

C
AC=5

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PostThu Jul 29, 2010 6:33 am

stmt1,

AB=3,BC=4

1>AC<7

AC can be any integer like 2,3,4,5,6

Insuff

stmt2,

ABC ia right angle triangle.

No info abt sides.

Insuff

Combining 1 and 2,

AB=3,BC=4

If we take B=90,AC=5

If we take A or C as 90,AC will not be an integer which is not possible.

-->AC=5

Pick C

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sanju09
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PostThu Jul 29, 2010 6:37 am

selango wrote:
stmt1,

AB=3,BC=4

1>AC<7

AC can be any integer like 2,3,4,5,6

Insuff

stmt2,

ABC ia right angle triangle.

No info abt sides.

Insuff

Combining 1 and 2,

AB=3,BC=4

If we take B=90,AC=5

If we take A or C as 90,AC will not be an integer which is not possible.

-->AC=5

Pick C
But, which of the angle is right?
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selango
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PostThu Jul 29, 2010 6:42 am

sanju09 wrote:
selango wrote:
stmt1,

AB=3,BC=4

1>AC<7

AC can be any integer like 2,3,4,5,6

Insuff

stmt2,

ABC ia right angle triangle.

No info abt sides.

Insuff

Combining 1 and 2,

AB=3,BC=4

If we take B=90,AC=5

If we take A or C as 90,AC will not be an integer which is not possible.

-->AC=5

Pick C
But, which of the angle is right?
No info about right angle[A,B or C] and sides lengths.

So insufficient.

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