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Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Re: In the triangle above, does a^2 + b^2 = c^2 ? [#permalink]
03 Jan 2014, 05:20

Expert's post

SOLUTION

In the triangle above, does a^2 + b^2 = c^2 ?

(1) x + y = 90. This implies that the third angle, which is opposite side c, is 90 degrees. Thus a^2 + b^2 = c^2. Sufficient.

(2) x = y. This implies that the triangle is isosceles. If it's an isosceles right triangle, then the answer is YES but if it's not, then the answer is NO. Not sufficient.

Re: In the triangle above, does a^2 + b^2 = c^2 ? [#permalink]
03 Jan 2014, 06:02

1

This post received KUDOS

IMO: A

1) x + y= 90 Therefore, the other angle equals 90°, the triangle is a right triangle, and the formula is a^2 + b^2 = c^2 SUFFICIENT

2) x = y. x + y = 90°, therefore, the triangle is a right triangle. x + y = 88°, therefore, it is not a right triangle. (Be careful, do not assume anything based on the figure).

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

Statement A:

if x+y=90. that means other side will be 90. this wud be right angle.

I think this is sufficient. A.

Statement B : x=y that means other side can be any number.

x=40 and y=40 other side cud be 100. so its not sure it cud be a2+b2=c2 or not.

so b is not sufficient.

Hence ans is a. _________________

Bole So Nehal.. Sat Siri Akal.. Waheguru ji help me to get 700+ score !

Statement 1) If x+y = 90 then the angle opposite of Side c has to have angle of 180-90 = 90, and the sides will satisfy the pythagorus theorem. Sufficient. Statement 2) x = y. it is just a condition of isosceles triangle. Not Sufficient.

Re: In the triangle above, does a^2 + b^2 = c^2 ? [#permalink]
05 Jan 2014, 11:19

Expert's post

SOLUTION

In the triangle above, does a^2 + b^2 = c^2 ?

(1) x + y = 90. This implies that the third angle, which is opposite side c, is 90 degrees. Thus a^2 + b^2 = c^2. Sufficient.

(2) x = y. This implies that the triangle is isosceles. If it's an isosceles right triangle then the answer is YES but if it's not, then the answer is NO. Not sufficient.

It has been a fairly long time since I have posted here, but I definitely did not want to sign off without giving readers a quick update on my personal...