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However, I chose D because I felt that A was sufficient as well.
Since RS is perpendicular to QP, can't you assume that QS is = to 2.5 (half of 5)? If that is the case, you can assume that SR is also 2.5 because Triangle QRS is a 90, 45, 45.

Now you have PQ as stated in (1) and SR which will give you what you need.

Obviously PR has a problem with me defining QS as 2.5

However, I chose D because I felt that A was sufficient as well. Since RS is perpendicular to QP, can't you assume that QS is = to 2.5 (half of 5)? If that is the case, you can assume that SR is also 2.5 because Triangle QRS is a 90, 45, 45.

Now you have PQ as stated in (1) and SR which will give you what you need.

Obviously PR has a problem with me defining QS as 2.5

What do you think?

Htown

There is no justification for you to assume that QS is 2.5, even if it "looks" like it in the picture. All you know is that the hypotenuese of a right triangle is 5. The legs could be anything, hence the QS could be anything.
_________________

Best,

AkamaiBrah Former Senior Instructor, Manhattan GMAT and VeritasPrep Vice President, Midtown NYC Investment Bank, Structured Finance IT MFE, Haas School of Business, UC Berkeley, Class of 2005 MBA, Anderson School of Management, UCLA, Class of 1993

I agree that the legs could be "anything," but if you have a 45, 45, 90 triangle and you know one length, you have them all. How can RS form a perpendicular with PQ and not intersect at the midpoint of PQ?

I agree that the legs could be "anything," but if you have a 45, 45, 90 triangle and you know one length, you have them all. How can RS form a perpendicular with PQ and not intersect at the midpoint of PQ?

Thanks

Htown

Draw ANY right triangle with its hypotenuese on the bottom. Now simply drop a line from the tip of the triangle to the hypotenuese, which is simply the attitude. Unless your triangle was a 45-45-90, the line you drop will certainly not bisect the hypotenuese but still be perpendicular to it.

Note: don't just ask questions, try some of these out for yourself.
_________________

Best,

AkamaiBrah Former Senior Instructor, Manhattan GMAT and VeritasPrep Vice President, Midtown NYC Investment Bank, Structured Finance IT MFE, Haas School of Business, UC Berkeley, Class of 2005 MBA, Anderson School of Management, UCLA, Class of 1993