Question 164 Problem Solving 2018 GMAT Quantitative Review

Question 164 Problem Solving 2018 GMAT Quantitative Review

Video explanation[PQID: PS08654]: A certain right triangle has sides of length x, y, and z, where…

Comments

Tom Walkersays

I solved this one using the 45:45:90 triangle rules. Since we know it’s a right triangle and the area is 1 (and we know that z is the hypotenuse), the smallest possible value for y is sqrt-2, but since we know that y is greater than x, we know that y has to be greater than sqrt-2.

Thanks for your videos. I’m scheduled to write the GMAT on Wednesday, and watching you actually think through and explain the answers has helped me tremendously to understand the more advanced concepts.

Yes, that works by using the extreme case of the right isosceles triangle and then arguing that $y$ must exceed $x$. Good luck with your GMAT exam. I am glad my videos were of help in your preparation.

Tom Walker says

I solved this one using the 45:45:90 triangle rules. Since we know it’s a right triangle and the area is 1 (and we know that z is the hypotenuse), the smallest possible value for y is sqrt-2, but since we know that y is greater than x, we know that y has to be greater than sqrt-2.

Thanks for your videos. I’m scheduled to write the GMAT on Wednesday, and watching you actually think through and explain the answers has helped me tremendously to understand the more advanced concepts.

GMAT Quantum says

Yes, that works by using the extreme case of the right isosceles triangle and then arguing that $y$ must exceed $x$. Good luck with your GMAT exam. I am glad my videos were of help in your preparation.