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mgmat city - triangles

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pradeepkaushal9518: Legendary Member; Posts: 1309; Joined: Wed Mar 17, 2010 11:41 pmFollowed by: 5 members; Thanked: 33 times

by pradeepkaushal9518 » Sat Jul 17, 2010 2:06 am

In the figure, angle C and angle M are right angles, and KL = 10. If the area of triangle ABC is four times the area of triangle KLM, what is the length AB?

(1) Angles ABC and KLM have the same measure.

(2) LM is 6 inches.

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Source: Beat The GMAT — Data Sufficiency | Sat Jul 17, 2010 2:06 am

kvcpk: Legendary Member; Posts: 1893; Joined: Sun May 30, 2010 11:48 pmFollowed by: 7 members; Thanked: 215 times

by kvcpk » Sat Jul 17, 2010 2:27 am

pradeepkaushal9518 wrote:In the figure, angle C and angle M are right angles, and KL = 10. If the area of triangle ABC is four times the area of triangle KLM, what is the length AB?

(1) Angles ABC and KLM have the same measure.

(2) LM is 6 inches.

Can u please load the picture in a word doc and attach?

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pradeepkaushal9518: Legendary Member; Posts: 1309; Joined: Wed Mar 17, 2010 11:41 pmFollowed by: 5 members; Thanked: 33 times

by pradeepkaushal9518 » Sat Jul 17, 2010 3:27 am

these are simple triangles with c and M as right angles

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Rahul@gurome: GMAT Instructor; Posts: 1179; Joined: Sun Apr 11, 2010 9:07 pmFollowed by: 88 members; Location: Milpitas, CA; Thanked: 447 times

by Rahul@gurome » Sat Jul 17, 2010 3:46 am

pradeepkaushal9518 wrote:In the figure, angle C and angle M are right angles, and KL = 10. If the area of triangle ABC is four times the area of triangle KLM, what is the length AB?

(1) Angles ABC and KLM have the same measure.

(2) LM is 6 inches.

(1) Angle ABC = Angle KLM implies Angle CAB = Angle MKL
So, triangles ABC and KLM are similar.
Since, Area of triangle ABC = 4 (Area of triangle KLM) so each side of triangle ABC is two times the sides of triangle KLM.
Hence AB = 2(10) = 20.

So, (1) is SUFFICIENT.

(2) LM = 6 in, using which we can find KM. If we know KM we can find the area of triangle KLM, but using that we can only find the area of triangle ABC, but not the length AB.
So, (2) is NOT SUFFICIENT.

The correct answer is [spoiler](A)[/spoiler].

Rahul Lakhani
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Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
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singhpreet1: Senior | Next Rank: 100 Posts; Posts: 95; Joined: Tue Jun 08, 2010 11:27 am; Thanked: 7 times

by singhpreet1 » Sun Jul 18, 2010 12:50 am

pradeepkaushal9518 wrote:these are simple triangles with c and M as right angles

assuming u mean Similar triangles.

Preet

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