ABC is a right angle

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

by sanju09 » Thu Jul 29, 2010 5:11 am

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.

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Sanjeev K Saxena
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Source: Beat The GMAT — Data Sufficiency | Thu Jul 29, 2010 5:11 am

outreach: Legendary Member; Posts: 748; Joined: Sun Jan 31, 2010 7:54 amFollowed by: 3 members; Thanked: 46 times

by outreach » Thu Jul 29, 2010 5:32 am

C
AC=5

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selango: Legendary Member; Posts: 1460; Joined: Tue Dec 29, 2009 1:28 amFollowed by: 7 members; Thanked: 135 times

by selango » Thu Jul 29, 2010 5:33 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

--Anand--

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

by sanju09 » Thu Jul 29, 2010 5:37 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?

The mind is everything. What you think you become. -Lord Buddha

Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com

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selango: Legendary Member; Posts: 1460; Joined: Tue Dec 29, 2009 1:28 amFollowed by: 7 members; Thanked: 135 times

by selango » Thu Jul 29, 2010 5:42 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.

--Anand--

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