GMATPrep problem need help!!

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sangeethmani: Junior | Next Rank: 30 Posts; Posts: 24; Joined: Wed Oct 21, 2009 3:19 pm

by sangeethmani » Tue Dec 15, 2009 2:16 pm

In Isosceles triangle RST what is the measure of R?
(1) The measure of T is 100
(2) The measure of S is 40

I am confused about this because we dont know which sides are equal . the answer is B.

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Source: Beat The GMAT — Data Sufficiency | Tue Dec 15, 2009 2:16 pm

sangeethmani: Junior | Next Rank: 30 Posts; Posts: 24; Joined: Wed Oct 21, 2009 3:19 pm

by sangeethmani » Tue Dec 15, 2009 2:17 pm

culd I please get help for this 1?

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Giorgio: Master | Next Rank: 500 Posts; Posts: 182; Joined: Sat Apr 11, 2009 4:55 am; Thanked: 11 times

by Giorgio » Tue Dec 15, 2009 2:55 pm

Answer should be A not B...

If you know that T is 100 the only possibility for R and S are 40 , because total should be 180

2nd however says that R can be 40 together with S , or 60 together with T...

So answer is A

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gmat_basher: Newbie | Next Rank: 10 Posts; Posts: 9; Joined: Tue Dec 15, 2009 3:10 pm

by gmat_basher » Tue Dec 15, 2009 3:20 pm

In this type of question you always want to know the GREATER angle in the triangle.. So if the angle is 100, then the other two equal angles should be 40, 40 ( 100+40+40 = 180) ,, So you are 100% Sure that R and S are 40 and T is 100.

In case S is 40, Then there are 2 cases
a) 40 , 40, 100
b) 40, 70, 70
So you are not sure if its a or b ?

Hence answer is A.

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sangeethmani: Junior | Next Rank: 30 Posts; Posts: 24; Joined: Wed Oct 21, 2009 3:19 pm

by sangeethmani » Tue Dec 15, 2009 3:34 pm

i am still not clear y cant the values be 70 70?

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