a given angle opposite that side

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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 » Tue Oct 25, 2011 1:33 am

All triangles in the set of triangles having a given side and a given angle opposite that side
(A) are congruent
(B) are similar
(C) are equivalent
(D) have the same inscribed circle
(E) have the same circumscribed circle

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

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Source: Beat The GMAT — Problem Solving | Tue Oct 25, 2011 1:33 am

moonraker: Junior | Next Rank: 30 Posts; Posts: 15; Joined: Sun Feb 28, 2010 6:21 amFollowed by: 2 members; Location: Mumbai; Thanked: 3 times; GMAT Score:710

by moonraker » Tue Oct 25, 2011 2:52 am

same circumscirbed circle...... E

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neelgandham: Community Manager; Posts: 1060; Joined: Fri May 13, 2011 6:46 amFollowed by: 52 members; Location: Utrecht, The Netherlands; Thanked: 318 times

by neelgandham » Tue Oct 25, 2011 3:25 am

All triangles in the set of triangles having a given side and a given angle opposite that side
(A) are congruent May be or May be not
(B) are similar May be or May be not
(C) are equivalent ?
(D) have the same inscribed circle May be or May be not
(E) have the same circumscribed circle yes-Option E

Anil Gandham
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user123321: Master | Next Rank: 500 Posts; Posts: 385; Joined: Fri Sep 23, 2011 9:02 pmFollowed by: 6 members; Thanked: 62 times

by user123321 » Tue Oct 25, 2011 7:41 am

sanju09 wrote:All triangles in the set of triangles having a given side and a given angle opposite that side
(A) are congruent
(B) are similar
(C) are equivalent
(D) have the same inscribed circle
(E) have the same circumscribed circle

a/sinA = b/sinB = c/SinC = 2R --- sine law
as one side and opposite angle are same for all triangles, circum circle is same.

user123321

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